(-2y^3+1)dx+(3xy^2+x^3)dy=0

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


Simplifying
(-2y3 + 1) * dx + (3xy2 + x3) * dy = 0

Reorder the terms:
(1 + -2y3) * dx + (3xy2 + x3) * dy = 0

Reorder the terms for easier multiplication:
dx(1 + -2y3) + (3xy2 + x3) * dy = 0
(1 * dx + -2y3 * dx) + (3xy2 + x3) * dy = 0
(1dx + -2dxy3) + (3xy2 + x3) * dy = 0

Reorder the terms for easier multiplication:
1dx + -2dxy3 + dy(3xy2 + x3) = 0
1dx + -2dxy3 + (3xy2 * dy + x3 * dy) = 0
1dx + -2dxy3 + (3dxy3 + dx3y) = 0

Combine like terms: -2dxy3 + 3dxy3 = 1dxy3
1dx + 1dxy3 + dx3y = 0

Solving
1dx + 1dxy3 + dx3y = 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 + y3 + x2y) = 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 + y3 + x2y)' equal to zero and attempt to solve:

Simplifying
1 + y3 + x2y = 0

Reorder the terms:
1 + x2y + y3 = 0

Solving
1 + x2y + y3 = 0

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

Add '-1' to each side of the equation.
1 + x2y + -1 + y3 = 0 + -1

Reorder the terms:
1 + -1 + x2y + y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x2y + y3 = 0 + -1
x2y + y3 = 0 + -1

Combine like terms: 0 + -1 = -1
x2y + y3 = -1

Add '-1x2y' to each side of the equation.
x2y + -1x2y + y3 = -1 + -1x2y

Combine like terms: x2y + -1x2y = 0
0 + y3 = -1 + -1x2y
y3 = -1 + -1x2y

Add '-1y3' to each side of the equation.
y3 + -1y3 = -1 + -1x2y + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -1 + -1x2y + -1y3

Simplifying
0 = -1 + -1x2y + -1y3

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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