Solving x’ = Ax + f(t)

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Solving all of the non-homogeneous systems of differential equations given on exams in the past 3 years in MA 266
  1. Liam Robinson
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For the final problem with the fundamental matrix, my professor taught that we take a definite integral from 0 to t with a different placeholder variable used within the integral during calculations. As it is a definite integral, that explains why the constant is left out, however I believe it yields a different answer than yours due the evaluation at 0 being subtracted.

Gearheart
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What if in 9th question we have the exponent of exponential coincide with the eigen value of matrix A what is the apporach then

sarthaksingh