Solve the differential equation : `(dy)/(dx)-y/x=2x^2`

Explanation

Given differential equation is `frac{d y}{d x}+frac{2}{x} cdot y=x^{2}`

This is of the linear form.

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Thus ` P=frac{2}{x}, Q=x^{2}`

`{ I.F. }=e^{int frac{2}{x} d x}=e^{log x^{2}}=x^{2}`

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Hence, Solution ,

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