Question 3
Prove that x2 - y2 = c (x2 + y2)2 is the general solution of differential equation (x3 - 3 x y2) dx = ( y3 - 3 x2y) dy, where c is a parameter .
SOLUTION
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Prove that x2 - y2 = c (x2 + y2)2 is the general solution of differential equation (x3 - 3 x y2) dx = ( y3 - 3 x2y) dy, where c is a parameter .