Solve the differential equation (x^2+y^2)dx+2xydy=0

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Solve the differential equation (x2+y2)dx+2xydy=0 by using the separation of variables (Fourier) method.
How to solve differential equation with separable variables?

Strategy of solving differential equations by using separation of variables method:
1. let y=vx and differentiate both sides with respect to x,
2. substitute accordingly,
3. integrate both sides.

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#Differential #Equation
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