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

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


Simplifying
(x2y + y3) * dx + x3dy = 0

Reorder the terms for easier multiplication:
dx(x2y + y3) + x3dy = 0
(x2y * dx + y3 * dx) + x3dy = 0

Reorder the terms:
(dxy3 + dx3y) + x3dy = 0
(dxy3 + dx3y) + x3dy = 0

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

Solving
dxy3 + 2dx3y = 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(y2 + 2x2) = 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 '(y2 + 2x2)' equal to zero and attempt to solve:

Simplifying
y2 + 2x2 = 0

Reorder the terms:
2x2 + y2 = 0

Solving
2x2 + y2 = 0

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

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

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

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

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

Simplifying
0 = -2x2 + -1y2

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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