Question

What is the general solution of the following homogeneous second-order differential equation? \frac{d^{2} y}{d x^{2}}+12 \frac{d y}{d x}+36 . y=\sin (5 . x) y=e^{-6 \cdot x}(A x+B)+(0.016) \cdot \cos (5

\cdot x)+(0.0030) \cdot \sin (5 \cdot x) y=e^{-6 \cdot x}(A x+B)+(0.016) \cdot \cos (5 \cdot x)-(0.0030) \cdot \sin (5 \cdot x) y=e^{-6 . x}(A x+B)-(0.016) \cdot \cos (5 . x)-(0.0030) \cdot \sin (5 . x) y=e^{-6 \cdot x}(A x+B)-(0.016) \cdot \cos (5 \cdot x)+(0.0030) \cdot \sin (5 \cdot x)

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