-ydx+(x^4-x)dy=0

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Solution for -ydx+(x^4-x)dy=0 equation: 


Simplifying
-1ydx + (x4 + -1x) * dy = 0

Reorder the terms:
-1dxy + (-1x + x4) * dy = 0

Reorder the terms for easier multiplication:
-1dxy + dy(-1x + x4) = 0
-1dxy + (-1x * dy + x4 * dy) = 0
-1dxy + (-1dxy + dx4y) = 0

Combine like terms: -1dxy + -1dxy = -2dxy
-2dxy + dx4y = 0

Solving
-2dxy + dx4y = 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), 'dxy'.
dxy(-2 + x3) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(-2 + x3)' equal to zero and attempt to solve:

Simplifying
-2 + x3 = 0

Solving
-2 + x3 = 0

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

Add '2' to each side of the equation.
-2 + 2 + x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x3 = 0 + 2
x3 = 0 + 2

Combine like terms: 0 + 2 = 2
x3 = 2

Add '-1x3' to each side of the equation.
x3 + -1x3 = 2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 2 + -1x3

Simplifying
0 = 2 + -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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