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x^{2}dy/dx= y - xy

IC (initial conditions): y(-1) = -1 (This is used to solve for C)

Must first separate the variables x and y and then integrate them and solve for y, but I got stuck...

x^{2}dy = (y - xy)dx

x^{2}dy = y(1-x)dx

dy= y(1-x)dx/x^{2}<-- not sure what to do with the y now... I figure I could divide everything by y so I could bring it to the left side but the right side would have dx/y

The answer is y = e^{-(1+1/x)}/x

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# Homework Help: Implicit and explicit solution for a given initial-value problem

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