y^2dx(x^2-xy)dy=0

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Solution for y^2dx(x^2-xy)dy=0 equation:


Simplifying
y2dx(x2 + -1xy) * dy = 0

Reorder the terms:
dxy2(-1xy + x2) * dy = 0

Reorder the terms for easier multiplication:
dxy2 * dy(-1xy + x2) = 0

Multiply dxy2 * dy
d2xy3(-1xy + x2) = 0
(-1xy * d2xy3 + x2 * d2xy3) = 0
(-1d2x2y4 + d2x3y3) = 0

Solving
-1d2x2y4 + d2x3y3 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd2x2y3'.
d2x2y3(-1y + x) = 0

Subproblem 1

Set the factor 'd2x2y3' equal to zero and attempt to solve: Simplifying d2x2y3 = 0 Solving d2x2y3 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2x2y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1y + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y = 0 + -1x -1y = 0 + -1x Remove the zero: -1y = -1x Add 'y' to each side of the equation. -1y + y = -1x + y Combine like terms: -1y + y = 0 0 = -1x + y Simplifying 0 = -1x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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