# What is a solution to the differential equation #dy/dx=(1+x)/(xy)# with y(1)=-4?

separable equation so separate

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The solution to the given differential equation (\frac{dy}{dx} = \frac{1+x}{xy}) with the initial condition (y(1) = -4) is:

[y(x) = -\sqrt{2(x+1)}]

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