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

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


Simplifying
(x2) * dx + -1(x3 + y3) * dy = 0

Multiply x2 * dx
dx3 + -1(x3 + y3) * dy = 0

Reorder the terms for easier multiplication:
dx3 + -1dy(x3 + y3) = 0
dx3 + (x3 * -1dy + y3 * -1dy) = 0
dx3 + (-1dx3y + -1dy4) = 0

Solving
dx3 + -1dx3y + -1dy4 = 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(x3 + -1x3y + -1y4) = 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 '(x3 + -1x3y + -1y4)' equal to zero and attempt to solve:

Simplifying
x3 + -1x3y + -1y4 = 0

Solving
x3 + -1x3y + -1y4 = 0

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

Add '-1x3' to each side of the equation.
x3 + -1x3y + -1x3 + -1y4 = 0 + -1x3

Reorder the terms:
x3 + -1x3 + -1x3y + -1y4 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
0 + -1x3y + -1y4 = 0 + -1x3
-1x3y + -1y4 = 0 + -1x3
Remove the zero:
-1x3y + -1y4 = -1x3

Add 'x3y' to each side of the equation.
-1x3y + x3y + -1y4 = -1x3 + x3y

Combine like terms: -1x3y + x3y = 0
0 + -1y4 = -1x3 + x3y
-1y4 = -1x3 + x3y

Add 'y4' to each side of the equation.
-1y4 + y4 = -1x3 + x3y + y4

Combine like terms: -1y4 + y4 = 0
0 = -1x3 + x3y + y4

Simplifying
0 = -1x3 + x3y + y4

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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