The equation is:(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**