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Solve $(D^2-1)y=x^2sin3x$ .
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written 6.2 years ago by
teamques10
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• modified 6.1 years ago |
$ \text{ The Auxiliary equation is } \\ $
$ D^2 - 1 = 0 \\ $
$D = \pm1 \\ $
$ \text{ C.F. is } y_c= c_1e^x + c_2e^{-x}\\ $
$ \text{P.I = }y_p = \frac{1}{D^2 - 1}x^2 sin3x\\ $
$=\text {Imaginary part of }\frac{1}{(D^2-1)}x^2e^{3ix} \\ $
$=\text …
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