Differential EquationHard

Question

The equation of curve satisfying the differential equation y(x + y3)dx = x(y3 - x)dy and passing through (1, 1) is:

Options

A.2y3 - 2x + 3x2y = 3
B.y3 + 2x - 3x2y = 0
C.y3 + 2x + 3x2y = 6
D.None of these

Solution

y3 (ydx - xdy)+ xd(xy)= 0

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