Using the Jordan Decomposition to Find the Matrix Exponential restart; with(LinearAlgebra): Consider the system 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, where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= is the matrix A := Matrix([[22, -12, -23, -13, -31], [19, -10, -21, -12, -28], [58, -83, 21, -1, 71], [-54, 82, -25, 0, -80], [-14, 24, -12, -3, -29]]);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJBR0YoLUknUlRBQkxFR0YoNiUiKHMlNCkpLUknTUFUUklYR0YoNiM3JzcnIiNBISM3ISNCISM4ISNKNyciIz4hIzUhI0BGOCEjRzcnIiNlISMkKSIjQCEiIiIjcjcnISNhIiMjKSEjRCIiISEjISk3JyEjOSIjQ0Y4ISIkISNISSdNYXRyaXhHRiU3Iy1GUjYjL0kkJWlkR0YoRjE=

First, we find the eigenvalues and eigenvectors of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. Eigenvectors(A);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyQtSSdSVEFCTEVHRig2JSIpX3QjMyItSSdNQVRSSVhHRig2IzcnNyMiIiNGNEY0NyMhIiJGNiZJJ1ZlY3RvckdGJTYjSSdjb2x1bW5HRigtRi02JSIoWzVkKi1GMTYjNyc3JyEiIyIiIUZEIiIiRkRGQjcnISInRkRGREZDRkQ3JyIiKEZERkRGNUZENydGRUZERkRGRUZESSdNYXRyaXhHRiU3JC1GODYjL0kkJWlkR0YoRi8tRks2Iy9GUEY+

The eigenspace for eigenvalue 2 is one dimensional and the eigenspace for eigenvalue -1 is one dimensional. The matrix is not diagonalizable. The generalized eigenspace for 2 is the nullspace of B1 := (A-2)^5;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNCMUdGKC1JJ1JUQUJMRUdGKDYlIikzd3E2LUknTUFUUklYR0YoNiM3JzcnISVEPyIleUkhJWA1ISRpIiEleUlGNjcnIiZwPyIhJkxjIiIleDghJU02IiVzISo3JyEmcD8iIiZMYyIhJXg4IiVNNiElcyEqNychJSlwJSIlUGkhJDUpIiRDJCElXVNJJ01hdHJpeEdGJTcjLUZONiMvSSQlaWRHRihGMQ==

bg1 := NullSpace(B1);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRiZzFHRig8JS1JJ1JUQUJMRUdGKDYlIilvRDs1LUknTUFUUklYR0YoNiM3JzcjIyIkOSIiI0o3IyMiJDEiRjo3IyIiIUY+NyMiIiImSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoLUYwNiUiKCtVJXotRjQ2IzcnNyMjIiNNRjo3IyMiI0NGOkY+RkBGPkZCLUYwNiUiKGtvYigtRjQ2IzcnNyMjIiNwRjo3IyMiI2NGOkZARj5GPkZCNyM8JS1GQjYjL0kkJWlkR0YoRlQtRkI2Iy9GXW9GSC1GQjYjL0Zdb0Yy

For eigenvalue -1, the generalized eigenspace is the nullspace of B2 := (A+1)^5;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNCMkdGKC1JJ1JUQUJMRUdGKDYlIigpMzkjKi1JJ01BVFJJWEdGKDYjNyc3JyIlUUQhJXg4ISUzRyElWjshJSRbJDcnIiUhKj0hJU02ISUpKj4hJVU3ISVvQTcnIiRDJCEldEUiJVNLIiQiKikiJVpxNyciJW06IiVvQSElbmYhJUxAISYtOiI3JyIjRiIkbiYhJFgqISReJCElI3kiSSdNYXRyaXhHRiU3Iy1GVDYjL0kkJWlkR0YoRjE=

bg2 := NullSpace(B2);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRiZzJHRig8JC1JJ1JUQUJMRUdGKDYlIilnTC02LUknTUFUUklYR0YoNiM3JzcjIiIkRjc3IyIiIUY5NyMiIiImSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoLUYwNiUiKTslei8iLUY0NiM3JzcjISIiRkdGR0Y7RjlGPTcjPCQtRj02Iy9JJCVpZEdGKEZDLUY9NiMvRk5GMg==

Put these together in a matrix LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 bg1 := convert(bg1, list);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRiZzFHRig3JS1JJ1JUQUJMRUdGKDYlIihrb2IoLUknTUFUUklYR0YoNiM3JzcjIyIjcCIjSjcjIyIjY0Y6NyMiIiI3IyIiIUZAJkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKC1GMDYlIigrVSV6LUY0NiM3JzcjIyIjTUY6NyMjIiNDRjpGQEY+RkBGQi1GMDYlIilvRDs1LUY0NiM3JzcjIyIkOSJGOjcjIyIkMSJGOkZARkBGPkZCNyM3JS1GQjYjL0kkJWlkR0YoRjItRkI2Iy9GXW9GSC1GQjYjL0Zdb0ZU

bg2 := convert(bg2, list);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRiZzJHRig3JC1JJ1JUQUJMRUdGKDYlIik7JXovIi1JJ01BVFJJWEdGKDYjNyc3IyEiIkY3Rjc3IyIiIjcjIiIhJkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKC1GMDYlIilnTC02LUY0NiM3JzcjIiIkRkdGO0Y7RjlGPTcjNyQtRj02Iy9JJCVpZEdGKEYyLUY9NiMvRk5GQw==

P := <Matrix(bg1)|Matrix(bg2)>;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJQR0YoLUknUlRBQkxFR0YoNiUiKVsvazYtSSdNQVRSSVhHRig2IzcnNycjIiNwIiNKIyIjTUY5IyIkOSJGOSEiIiIiJDcnIyIjY0Y5IyIjQ0Y5IyIkMSJGOUY+Rj83JyIiIiIiIUZJRj5GSTcnRklGSEZJRkhGSTcnRklGSUZIRklGSEknTWF0cml4R0YlNyMtRkw2Iy9JJCVpZEdGKEYx

d := DiagonalMatrix([2, 2, 2, -1, -1]);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJkR0YoLUknUlRBQkxFR0YoNiUiKWdScjYtSSdNQVRSSVhHRig2IzcnNyciIiMiIiFGOEY4Rjg3J0Y4RjdGOEY4Rjg3J0Y4RjhGN0Y4Rjg3J0Y4RjhGOCEiIkY4NydGOEY4RjhGOEY8SSdNYXRyaXhHRiU3Iy1GPjYjL0kkJWlkR0YoRjE=

The diagonalizable part LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 satisfies 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 S := P.d.P^(-1);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJTR0YoLUknUlRBQkxFR0YoNiUiKCFbJmYnLUknTUFUUklYR0YoNiM3JzcnIiNLISNGISM9ISM3Rjk3JyIjSSEjREY5RjpGOTcnIiNSISNqIiNIIiInIiNzNychI1IiI2pGOCEiJSEjczcnISIkIiM3ISM6ISInISNHSSdNYXRyaXhHRiU3Iy1GTzYjL0kkJWlkR0YoRjE=

Check that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= commutes with LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 A.S-S.A;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSIpS20rNS1JJ01BVFJJWEdGKDYjNyc3JyIiIUY1RjVGNUY1RjRGNEY0RjRJJ01hdHJpeEdGJTcjLUY2NiMvSSQlaWRHRihGLw==

N := A-S;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJOR0YoLUknUlRBQkxFR0YoNiUiKSVRNjciLUknTUFUUklYR0YoNiM3JzcnISM1IiM6ISImISIiISM4NychIzZGOCEiJCIiIUY3NyciIz4hIz8hIikhIihGOjcnISM6RkEiIiMiIiVGQzcnRj0iIzciIiRGS0Y6SSdNYXRyaXhHRiU3Iy1GTDYjL0kkJWlkR0YoRjE=

Check that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= is nilpotent. N^5;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSIpKSlleDUtSSdNQVRSSVhHRig2IzcnNyciIiFGNUY1RjVGNUY0RjRGNEY0SSdNYXRyaXhHRiU3Iy1GNjYjL0kkJWlkR0YoRi8=

N^2; N^3; N^4;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSIpXyJ6RiItSSdNQVRSSVhHRig2IzcnNychIiMiIiEiIiUiIiMiIidGNDcnISInRjYiIzdGOSIjPTcnIiIoRjYhIzkhIighI0A3JyIiIkY2RjUhIiIhIiRJJ01hdHJpeEdGJTcjLUZHNiMvSSQlaWRHRihGLw==

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSIpX3IhPSItSSdNQVRSSVhHRig2IzcnNyciIiFGNUY1RjVGNUY0RjRGNEY0SSdNYXRyaXhHRiU3Iy1GNjYjL0kkJWlkR0YoRi8=

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSIpI1JyNSItSSdNQVRSSVhHRig2IzcnNyciIiFGNUY1RjVGNUY0RjRGNEY0SSdNYXRyaXhHRiU3Iy1GNjYjL0kkJWlkR0YoRi8=

Thus, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJTRidGL0YyLUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GVi1GLDYlUSJORidGL0YyRjk= is the Jordan Decomposition of A. Now find 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= commute, 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 Since 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so expd := DiagonalMatrix([exp(2*t), exp(2*t), exp(2*t), exp(-t), exp(-t)]);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVleHBkR0YoLUknUlRBQkxFR0YoNiUiKDNZUSotSSdNQVRSSVhHRig2IzcnNyctSSRleHBHRiU2IywkSSJ0R0YoIiIjIiIhRj1GPUY9NydGPUY3Rj1GPUY9NydGPUY9RjdGPUY9NydGPUY9Rj0tRjg2IywkRjshIiJGPTcnRj1GPUY9Rj1GQUknTWF0cml4R0YlNyMtRkY2Iy9JJCVpZEdGKEYx

exps := P.expd.P^(-1);

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

For 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 use the power series, remembering that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0Y+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlgtRjs2JFEjMC5GJ0Y+Rj4= expn := IdentityMatrix(5)+t*N + (t*N)^2/2;

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

Thus, expa := simplify(exps.expn);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVleHBhR0YoLUknUlRBQkxFR0YoNiUiKUdMKio9LUknTUFUUklYR0YoNiM3JzcnLCwtSSRleHBHRiU2IywkSSJ0R0YoIiIjIiM2KiZGOCIiIkY8RkBGQComRjhGQEY8Rj0hIiItRjk2IywkRjxGQiEjNSomRkNGQEY8RkAhIzYsKkY/Rj1GRyIjOEY4ISIqRkMiIiosLEY/ISInRkFGPUZHRkBGOEZORkMiIicsLEY/ISIkRkFGQEZHRj1GOCEiJUZDIiIlLCxGP0ZLRkEiIiRGR0ZSRjhGTkZDRk83JywqRjgiIzVGQUZCRkNGRkZHRkgsKkY/Rj1GR0ZKRjghIilGQ0ZMLCxGP0ZSRkFGPUZHRkBGOEZORkNGTywsRj8hIiNGQUZARkdGPUY4RlJGQ0ZTLCxGP0ZORkFGVUZHRlJGOEZORkNGTzcnLCxGOEZKRj9GUUZBRlFGQyEjOEZHIiNBLCpGP0ZPRkchI0VGOCEjQEZDIiNALCxGP0ZORkFGT0ZHRmduRjhGWEZDRkssLEY/RlFGQUZVRkdGUkY4Rj1GQ0ZnbiwsRj9GS0ZBRkxGRyIiKUY4IiNDRkMhI0M3JywsRjhGW29GPyIiKEZBI0Zpb0Y9RkNGSkZHISNBLCpGPyEiKEZHIiNFRjhGYG9GQ0ZfbywqRkFGXXBGR0Y9RjhGS0ZDRkwsKkZBI0ZdcEY9RkdGU0Y4RkJGQ0Y9LCpGQSNGX29GPUZHRlpGOEZmb0ZDRmVvNycsKkY4RkJGQSNGQEY9RkNGQEZHRkgsKkY/RkJGR0ZKRjhGU0ZDRlIsLEY/Rj1GQUZCRkdGQEY4ISImRkMiIiYsLEY/RkBGQSNGQkY9RkdGPUY4RmduRkNGPSwsRj9GVUZBI0ZRRj1GR0ZSRjhGS0ZDRlhJJ01hdHJpeEdGJTcjLUZfcTYjL0kkJWlkR0YoRjE=

map(collect, expa, [exp(2*t),exp(-t)]);

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

Let LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGPg== be the initial conditon for the solution of 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 x0 := Vector(5, symbol=c);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSN4MEdGKC1JJ1JUQUJMRUdGKDYlIikrKVFRIy1JJ01BVFJJWEdGKDYjNyc3IyZJImNHRig2IyIiIjcjJkY4NiMiIiM3IyZGODYjIiIkNyMmRjg2IyIiJTcjJkY4NiMiIiYmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRks2Iy9JJCVpZEdGKEYx

The solution then is xsol := expa.x0;

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

Let's check. xsolprime := map(diff, xsol, t);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSp4c29scHJpbWVHRigtSSdSVEFCTEVHRig2JSIoaydRJyotSSdNQVRSSVhHRig2IzcnNyMsLComLCotSSRleHBHRiU2IywkSSJ0R0YoIiIjIiNCKiZGOiIiIkY+Rj8hIiMtRjs2IywkRj4hIiJGRyomRkRGQkY+RkIiIzZGQiZJImNHRig2I0ZCRkJGQiomLCoqJkY6RkJGPkZCIiIlRjohIztGSCEjOEZERlBGQiZGSzYjRj9GQkZCKiYsLEZPISIpRjohIz1GQUZQRkhGR0ZEISImRkImRks2IyIiJEZCRkIqJiwsRk8hIiVGOiEjNkZBRj9GSEZDRkRGQ0ZCJkZLNiNGUEZCRkIqJiwsRk8hIzdGOiEjQEZBIiInRkhGUEZEISM1RkImRks2IyIiJkZCRkI3IywsKiYsLEY6IiM/RkFGQ0ZPRkNGREZHRkhGSUZCRkpGQkZCKiYsKkZPRlBGOiEjOUZIRlJGREZQRkJGU0ZCRkIqJiwsRk9GaW5GOkZRRkFGUEZIRkdGREZZRkJGWkZCRkIqJiwsRk9GQ0Y6RmJvRkFGP0ZIRkNGREZDRkJGW29GQkZCKiYsLEZPISInRjpGWEZBRmFvRkhGUEZERmJvRkJGY29GQkZCNyMsLComLCxGOkZARk9GX29GQUZkcEZEIiNORkghI0FGQkZKRkJGQiomLCpGTyIjN0Y6ISNPRkgiI0VGRCEjWkZCRlNGQkZCKiYsKkY6IiM5RkFGXXFGSEY/RkQiIihGQkZaRkJGQiomLCpGOkZCRkFGYW9GSEZQRkRGQ0ZCRltvRkJGQiomLCpGOiIjUkZBIiM9RkhGV0ZEIiNLRkJGY29GQkZCNyMsLComLCxGOiEjPkZPIiNARkFGZHFGRCEjTkZIIiNBRkJGSkZCRkIqJiwqRk9GXXBGOkZpcEZIISNFRkQiI1pGQkZTRkJGQiomLCxGQUZdcEZPRl1wRkhGQ0ZEISIoRjpGWEZCRlpGQkZCKiYsLEZBRmpyRk9GanJGSEZpbkZERj9GOkZDRkJGW29GQkZCKiYsLEZBRmBvRk9GYG9GSCIiKUZEISNLRjohI1tGQkZjb0ZCRkI3IywsKiYsLEY6RkNGQUZCRk9GQkZERl9vRkhGSUZCRkpGQkZCKiYsKkZPRkNGOkZkcUZIRlJGRCIjPEZCRlNGQkZCKiYsLEZPRj9GOkZXRkFGQ0ZIRkdGREZpbkZCRlpGQkZCKiYsKkZPRkJGOiEiJEZBRkdGSEZDRkJGW29GQkZCKiYsLEZPRmZuRjohIzpGQUZddEZIRlBGREZdcEZCRmNvRkJGQiZJJ1ZlY3RvckdGJTYjSSdjb2x1bW5HRig3Iy1GYXQ2Iy9JJCVpZEdGKEYx

xsolprime - A.xsol;

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

simplify(%);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSIpc09BOy1JJ01BVFJJWEdGKDYjNyc3IyIiIUY0RjRGNEY0JkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKDcjLUY2NiMvSSQlaWRHRihGLw==

TTdSMApJNVJUQUJMRV9TQVZFLzEwODI3MzUyWColKmFsZ2VicmFpY0c2IjYiW2dsISMlISEhIiYiJiIiI0YnRichIiJGKEYmTTdSMApJNFJUQUJMRV9TQVZFLzk1NzEwNDhYLCUqYWxnZWJyYWljRzYiNiJbZ2whIiUhISEjOiImIiYhIiNGJyEiJyIiKCIiIiIiIUYrRitGK0YrRitGK0YrRitGK0YqRipGJyIiI0YqRitGK0YrRitGK0Ym