Solve the following differential equation: `(dy)/(dx)+y/x=x^3`

Explanation

We have, `frac{d y}{d x}+frac{y}{x}=x^{3}`


On comparing with `frac{d y}{d x}+p y=Q`,


we get `P=frac{1}{x}, Q=x^{3}`


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`therefore I F=e^{int frac{1}{x} d x}=e^{log _{e} x}=x`


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Now, solution of given differential equation is


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