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

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


Simplifying
(y2) * dy + (x3) * dx = 0

Multiply y2 * dy
dy3 + (x3) * dx = 0

Multiply x3 * dx
dy3 + dx4 = 0

Reorder the terms:
dx4 + dy3 = 0

Solving
dx4 + dy3 = 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(x4 + y3) = 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 '(x4 + y3)' equal to zero and attempt to solve:

Simplifying
x4 + y3 = 0

Solving
x4 + y3 = 0

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

Add '-1x4' to each side of the equation.
x4 + -1x4 + y3 = 0 + -1x4

Combine like terms: x4 + -1x4 = 0
0 + y3 = 0 + -1x4
y3 = 0 + -1x4
Remove the zero:
y3 = -1x4

Add '-1y3' to each side of the equation.
y3 + -1y3 = -1x4 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -1x4 + -1y3

Simplifying
0 = -1x4 + -1y3

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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