(x^4-y^2)dx+(x^3-2xy)dy=0

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Solution for (x^4-y^2)dx+(x^3-2xy)dy=0 equation: 


Simplifying
(x4 + -1y2) * dx + (x3 + -2xy) * dy = 0

Reorder the terms for easier multiplication:
dx(x4 + -1y2) + (x3 + -2xy) * dy = 0
(x4 * dx + -1y2 * dx) + (x3 + -2xy) * dy = 0

Reorder the terms:
(-1dxy2 + dx5) + (x3 + -2xy) * dy = 0
(-1dxy2 + dx5) + (x3 + -2xy) * dy = 0

Reorder the terms:
-1dxy2 + dx5 + (-2xy + x3) * dy = 0

Reorder the terms for easier multiplication:
-1dxy2 + dx5 + dy(-2xy + x3) = 0
-1dxy2 + dx5 + (-2xy * dy + x3 * dy) = 0
-1dxy2 + dx5 + (-2dxy2 + dx3y) = 0

Reorder the terms:
-1dxy2 + -2dxy2 + dx3y + dx5 = 0

Combine like terms: -1dxy2 + -2dxy2 = -3dxy2
-3dxy2 + dx3y + dx5 = 0

Solving
-3dxy2 + dx3y + dx5 = 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), 'dx'.
dx(-3y2 + x2y + x4) = 0


Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve:

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(-3y2 + x2y + x4)' equal to zero and attempt to solve:

Simplifying
-3y2 + x2y + x4 = 0

Reorder the terms:
x2y + x4 + -3y2 = 0

Solving
x2y + x4 + -3y2 = 0

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

Add '-1x2y' to each side of the equation.
x2y + x4 + -1x2y + -3y2 = 0 + -1x2y

Reorder the terms:
x2y + -1x2y + x4 + -3y2 = 0 + -1x2y

Combine like terms: x2y + -1x2y = 0
0 + x4 + -3y2 = 0 + -1x2y
x4 + -3y2 = 0 + -1x2y
Remove the zero:
x4 + -3y2 = -1x2y

Add '-1x4' to each side of the equation.
x4 + -1x4 + -3y2 = -1x2y + -1x4

Combine like terms: x4 + -1x4 = 0
0 + -3y2 = -1x2y + -1x4
-3y2 = -1x2y + -1x4

Add '3y2' to each side of the equation.
-3y2 + 3y2 = -1x2y + -1x4 + 3y2

Combine like terms: -3y2 + 3y2 = 0
0 = -1x2y + -1x4 + 3y2

Simplifying
0 = -1x2y + -1x4 + 3y2

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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