(1-x^2y^3)dx-xdy=0

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Solution for (1-x^2y^3)dx-xdy=0 equation: 


Simplifying
(1 + -1x2y3) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(1 + -1x2y3) + -1xdy = 0
(1 * dx + -1x2y3 * dx) + -1xdy = 0
(1dx + -1dx3y3) + -1xdy = 0

Reorder the terms:
1dx + -1dxy + -1dx3y3 = 0

Solving
1dx + -1dxy + -1dx3y3 = 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(1 + -1y + -1x2y3) = 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 '(1 + -1y + -1x2y3)' equal to zero and attempt to solve:

Simplifying
1 + -1y + -1x2y3 = 0

Reorder the terms:
1 + -1x2y3 + -1y = 0

Solving
1 + -1x2y3 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1x2y3 + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + -1x2y3 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x2y3 + -1y = 0 + -1
-1x2y3 + -1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1x2y3 + -1y = -1

Add 'x2y3' to each side of the equation.
-1x2y3 + x2y3 + -1y = -1 + x2y3

Combine like terms: -1x2y3 + x2y3 = 0
0 + -1y = -1 + x2y3
-1y = -1 + x2y3

Add 'y' to each side of the equation.
-1y + y = -1 + x2y3 + y

Combine like terms: -1y + y = 0
0 = -1 + x2y3 + y

Simplifying
0 = -1 + x2y3 + y

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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