Solve the differential equation: `(dy)/(dx)+2y=sin\ 3x`

Explanation

It is given that

`frac{d y}{d x}+2 y=\sin x `

`P=2, Q . .(1)`

On multiplying `{e}^{2x}` in equation (1)


`e^{2 x} \frac{d y}{d x}+2 y e^{2 x}=e^{2 x} \sin x `

`frac{d}{d x}(y e^{2 \pi})=e^{2 \pi} \sin x`

On integrating

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