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How to check a particular solution of System of Linear ODEs?
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[QUOTE="Hall, post: 6848037, member: 696593"] If I have been given a system of inhomogeneous linear ODEs, $$ \vec{x'} = \begin{bmatrix} 4 & -1 \\ 5 & -2 \\ \end{bmatrix} \vec{x} + \begin{bmatrix} 18e^{2t} \\ 30e^{2t}\\ \end{bmatrix} $$ I have found its particular solution to be: $$ 1/4 \begin{bmatrix} -31e^{2t} - 25e^{6t} \\ 85e^{2t} - 25e^{6t} \\ \end{bmatrix} $$ But this answer doesn't match with the answer given in the book. Can someone tell me how to check if this solutions works by writing some code in Mathematica? I know, I can use DSolve for solving them, but I'm asking a reverse of that. Please guide me step by step, I'm new to Mathematica and I don't have any background in programming. [/QUOTE]
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How to check a particular solution of System of Linear ODEs?
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