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

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


Simplifying
(x4 + y4) * dx + -2x3dy = 0

Reorder the terms for easier multiplication:
dx(x4 + y4) + -2x3dy = 0
(x4 * dx + y4 * dx) + -2x3dy = 0

Reorder the terms:
(dxy4 + dx5) + -2x3dy = 0
(dxy4 + dx5) + -2x3dy = 0

Reorder the terms:
dxy4 + -2dx3y + dx5 = 0

Solving
dxy4 + -2dx3y + 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(y4 + -2x2y + 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 '(y4 + -2x2y + x4)' equal to zero and attempt to solve:

Simplifying
y4 + -2x2y + x4 = 0

Reorder the terms:
-2x2y + x4 + y4 = 0

Solving
-2x2y + x4 + y4 = 0

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

Add '2x2y' to each side of the equation.
-2x2y + x4 + 2x2y + y4 = 0 + 2x2y

Reorder the terms:
-2x2y + 2x2y + x4 + y4 = 0 + 2x2y

Combine like terms: -2x2y + 2x2y = 0
0 + x4 + y4 = 0 + 2x2y
x4 + y4 = 0 + 2x2y
Remove the zero:
x4 + y4 = 2x2y

Add '-1x4' to each side of the equation.
x4 + -1x4 + y4 = 2x2y + -1x4

Combine like terms: x4 + -1x4 = 0
0 + y4 = 2x2y + -1x4
y4 = 2x2y + -1x4

Add '-1y4' to each side of the equation.
y4 + -1y4 = 2x2y + -1x4 + -1y4

Combine like terms: y4 + -1y4 = 0
0 = 2x2y + -1x4 + -1y4

Simplifying
0 = 2x2y + -1x4 + -1y4

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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