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

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


Simplifying
y3dx + (x3 + xy2) * dy = 0

Reorder the terms:
dxy3 + (xy2 + x3) * dy = 0

Reorder the terms for easier multiplication:
dxy3 + dy(xy2 + x3) = 0
dxy3 + (xy2 * dy + x3 * dy) = 0
dxy3 + (dxy3 + dx3y) = 0

Combine like terms: dxy3 + dxy3 = 2dxy3
2dxy3 + dx3y = 0

Solving
2dxy3 + 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), 'dxy'.
dxy(2y2 + x2) = 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 '(2y2 + x2)' equal to zero and attempt to solve:

Simplifying
2y2 + x2 = 0

Reorder the terms:
x2 + 2y2 = 0

Solving
x2 + 2y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + 2y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 2y2 = 0 + -1x2
2y2 = 0 + -1x2
Remove the zero:
2y2 = -1x2

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -1x2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -1x2 + -2y2

Simplifying
0 = -1x2 + -2y2

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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