(x^3)dy=y^2(x-4)

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Solution for (x^3)dy=y^2(x-4) equation:


Simplifying
(x3) * dy = y2(x + -4)

Multiply x3 * dy
dx3y = y2(x + -4)

Reorder the terms:
dx3y = y2(-4 + x)
dx3y = (-4 * y2 + x * y2)

Reorder the terms:
dx3y = (xy2 + -4y2)
dx3y = (xy2 + -4y2)

Solving
dx3y = xy2 + -4y2

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by 'x3y'.
d = x-2y + -4x-3y

Simplifying
d = x-2y + -4x-3y

Reorder the terms:
d = -4x-3y + x-2y

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