Ponleydx+(x+2xy^2-2y)dy=0

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


Simplifying
Ponleydx + (x + 2xy2 + -2y) * dy = 0

Reorder the terms for easier multiplication:
delnoxyP + dy(x + 2xy2 + -2y) = 0
delnoxyP + (x * dy + 2xy2 * dy + -2y * dy) = 0
delnoxyP + (dxy + 2dxy3 + -2dy2) = 0

Solving
delnoxyP + dxy + 2dxy3 + -2dy2 = 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), 'dy'.
dy(elnoxP + x + 2xy2 + -2y) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(elnoxP + x + 2xy2 + -2y)' equal to zero and attempt to solve: Simplifying elnoxP + x + 2xy2 + -2y = 0 Solving elnoxP + x + 2xy2 + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1elnoxP' to each side of the equation. elnoxP + x + 2xy2 + -1elnoxP + -2y = 0 + -1elnoxP Reorder the terms: elnoxP + -1elnoxP + x + 2xy2 + -2y = 0 + -1elnoxP Combine like terms: elnoxP + -1elnoxP = 0 0 + x + 2xy2 + -2y = 0 + -1elnoxP x + 2xy2 + -2y = 0 + -1elnoxP Remove the zero: x + 2xy2 + -2y = -1elnoxP Add '-1x' to each side of the equation. x + 2xy2 + -1x + -2y = -1elnoxP + -1x Reorder the terms: x + -1x + 2xy2 + -2y = -1elnoxP + -1x Combine like terms: x + -1x = 0 0 + 2xy2 + -2y = -1elnoxP + -1x 2xy2 + -2y = -1elnoxP + -1x Add '-2xy2' to each side of the equation. 2xy2 + -2xy2 + -2y = -1elnoxP + -1x + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 0 + -2y = -1elnoxP + -1x + -2xy2 -2y = -1elnoxP + -1x + -2xy2 Add '2y' to each side of the equation. -2y + 2y = -1elnoxP + -1x + -2xy2 + 2y Combine like terms: -2y + 2y = 0 0 = -1elnoxP + -1x + -2xy2 + 2y Simplifying 0 = -1elnoxP + -1x + -2xy2 + 2y 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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