[tex]y''(t)+A^2y(t)=f(t), t>0, y(0)=B, y'(0)=C, A, B, C\in\mathbb{R}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex]e^{iAt}[/tex] is a particular solution of the homogeneous equation. I can multiply it by some arbitrary function and find another solution of the homogeneous case, but when I try with the f(t) on the RHS, I can't do it. Anyone help?

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# ODE Help

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