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

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


Simplifying
(x4 + -1y4) * dx + (2x3y) * dy = 0

Reorder the terms for easier multiplication:
dx(x4 + -1y4) + (2x3y) * dy = 0
(x4 * dx + -1y4 * dx) + (2x3y) * dy = 0

Reorder the terms:
(-1dxy4 + dx5) + (2x3y) * dy = 0
(-1dxy4 + dx5) + (2x3y) * dy = 0

Remove parenthesis around (2x3y)
-1dxy4 + dx5 + 2x3y * dy = 0

Multiply x3y * dy
-1dxy4 + dx5 + 2dx3y2 = 0

Reorder the terms:
-1dxy4 + 2dx3y2 + dx5 = 0

Solving
-1dxy4 + 2dx3y2 + 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(-1y4 + 2x2y2 + 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 '(-1y4 + 2x2y2 + x4)' equal to zero and attempt to solve:

Simplifying
-1y4 + 2x2y2 + x4 = 0

Reorder the terms:
2x2y2 + x4 + -1y4 = 0

Solving
2x2y2 + x4 + -1y4 = 0

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

Add '-2x2y2' to each side of the equation.
2x2y2 + x4 + -2x2y2 + -1y4 = 0 + -2x2y2

Reorder the terms:
2x2y2 + -2x2y2 + x4 + -1y4 = 0 + -2x2y2

Combine like terms: 2x2y2 + -2x2y2 = 0
0 + x4 + -1y4 = 0 + -2x2y2
x4 + -1y4 = 0 + -2x2y2
Remove the zero:
x4 + -1y4 = -2x2y2

Add '-1x4' to each side of the equation.
x4 + -1x4 + -1y4 = -2x2y2 + -1x4

Combine like terms: x4 + -1x4 = 0
0 + -1y4 = -2x2y2 + -1x4
-1y4 = -2x2y2 + -1x4

Add 'y4' to each side of the equation.
-1y4 + y4 = -2x2y2 + -1x4 + y4

Combine like terms: -1y4 + y4 = 0
0 = -2x2y2 + -1x4 + y4

Simplifying
0 = -2x2y2 + -1x4 + y4

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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