Differential Equations - Solving Differential Equations by Substitution

Differential Equations - Solving Differential Equations by Substitution

By using the substitution \(y=ux\), solve the differential equation \(x\frac{\mathrm{d}y}{\mathrm{d}x}=y+x\), given that \(x>0\) and \(y=2\) when \(x=1\).

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Answer:\(y = x\ln x + 2x\)

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