(y^2+yx^2)dx-x^2dy=0

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


Simplifying
(y2 + yx2) * dx + -1x2dy = 0

Reorder the terms:
(x2y + y2) * dx + -1x2dy = 0

Reorder the terms for easier multiplication:
dx(x2y + y2) + -1x2dy = 0
(x2y * dx + y2 * dx) + -1x2dy = 0

Reorder the terms:
(dxy2 + dx3y) + -1x2dy = 0
(dxy2 + dx3y) + -1x2dy = 0

Reorder the terms:
dxy2 + -1dx2y + dx3y = 0

Solving
dxy2 + -1dx2y + dx3y = 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), 'dxy'.
dxy(y + -1x + x2) = 0

Subproblem 1

Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(y + -1x + x2)' equal to zero and attempt to solve: Simplifying y + -1x + x2 = 0 Reorder the terms: -1x + x2 + y = 0 Solving -1x + x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x2 + x + y = 0 + x Reorder the terms: -1x + x + x2 + y = 0 + x Combine like terms: -1x + x = 0 0 + x2 + y = 0 + x x2 + y = 0 + x Remove the zero: x2 + y = x Add '-1x2' to each side of the equation. x2 + -1x2 + y = x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y = x + -1x2 y = x + -1x2 Add '-1y' to each side of the equation. y + -1y = x + -1x2 + -1y Combine like terms: y + -1y = 0 0 = x + -1x2 + -1y Simplifying 0 = x + -1x2 + -1y 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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