## Question

###### For each of the differential equations in exercise set up the correct linear combination of functions with undetermined literal coefficients to use in finding a particular integral by the method of undetermined coefficients. (Do not actually find the particular integrals.)$$frac{d^{2} y}{d x^{2}}+6 frac{d y}{d x}+13 y=x e^{-3 x} sin 2 x+x^{2} e^{-2 x} sin 3 x$$.

For each of the differential equations in exercise set up the correct linear combination of functions with undetermined literal coefficients to use in finding a particular integral by the method of undetermined coefficients. (Do not actually find the particular integrals.) $$ frac{d^{2} y}{d x^{2}}+6 frac{d y}{d x}+13 y=x e^{-3 x} sin 2 x+x^{2} e^{-2 x} sin 3 x $$.

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