dy+(x^5-x^2y)dx=0

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Solution for dy+(x^5-x^2y)dx=0 equation: 


Simplifying
dy + (x5 + -1x2y) * dx = 0

Reorder the terms:
dy + (-1x2y + x5) * dx = 0

Reorder the terms for easier multiplication:
dy + dx(-1x2y + x5) = 0
dy + (-1x2y * dx + x5 * dx) = 0
dy + (-1dx3y + dx6) = 0

Reorder the terms:
-1dx3y + dx6 + dy = 0

Solving
-1dx3y + dx6 + dy = 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), 'd'.
d(-1x3y + x6 + y) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-1x3y + x6 + y)' equal to zero and attempt to solve:

Simplifying
-1x3y + x6 + y = 0

Solving
-1x3y + x6 + y = 0

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

Add 'x3y' to each side of the equation.
-1x3y + x6 + x3y + y = 0 + x3y

Reorder the terms:
-1x3y + x3y + x6 + y = 0 + x3y

Combine like terms: -1x3y + x3y = 0
0 + x6 + y = 0 + x3y
x6 + y = 0 + x3y
Remove the zero:
x6 + y = x3y

Add '-1x6' to each side of the equation.
x6 + -1x6 + y = x3y + -1x6

Combine like terms: x6 + -1x6 = 0
0 + y = x3y + -1x6
y = x3y + -1x6

Add '-1y' to each side of the equation.
y + -1y = x3y + -1x6 + -1y

Combine like terms: y + -1y = 0
0 = x3y + -1x6 + -1y

Simplifying
0 = x3y + -1x6 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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