Evaluate dy/DX=2y²/x³?

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Answer 1 · 2018-05-04T13:49:53

#y= x^2/(1+2cx^2)#

This is a separable differential equation:

#dy/dx = (2y^2)/x^3#

#dy/(2y^2) = dx/x^3#

#int dy/(2y^2) = int dx/x^3#

#-1/(2y) = -1/(2x^2)+c#

#1/y=(1+2cx^2)/x^2#

#y= x^2/(1+2cx^2)#