(x^4-x+y)dx-xdy=0

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Solution for (x^4-x+y)dx-xdy=0 equation: 


Simplifying
(x4 + -1x + y) * dx + -1xdy = 0

Reorder the terms:
(-1x + x4 + y) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(-1x + x4 + y) + -1xdy = 0
(-1x * dx + x4 * dx + y * dx) + -1xdy = 0

Reorder the terms:
(dxy + -1dx2 + dx5) + -1xdy = 0
(dxy + -1dx2 + dx5) + -1xdy = 0

Reorder the terms:
dxy + -1dxy + -1dx2 + dx5 = 0

Combine like terms: dxy + -1dxy = 0
0 + -1dx2 + dx5 = 0
-1dx2 + dx5 = 0

Solving
-1dx2 + 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), 'dx2'.
dx2(-1 + x3) = 0


Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve:

Simplifying
dx2 = 0

Solving
dx2 = 0

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

Simplifying
dx2 = 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 '(-1 + x3)' equal to zero and attempt to solve:

Simplifying
-1 + x3 = 0

Solving
-1 + x3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x3 = 0 + 1
x3 = 0 + 1

Combine like terms: 0 + 1 = 1
x3 = 1

Add '-1x3' to each side of the equation.
x3 + -1x3 = 1 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 1 + -1x3

Simplifying
0 = 1 + -1x3

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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