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

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


Simplifying
(y3) * dx + (3xy3) * dy = 0

Multiply y3 * dx
dxy3 + (3xy3) * dy = 0

Remove parenthesis around (3xy3)
dxy3 + 3xy3 * dy = 0

Multiply xy3 * dy
dxy3 + 3dxy4 = 0

Solving
dxy3 + 3dxy4 = 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), 'dxy3'.
dxy3(1 + 3y) = 0


Subproblem 1
Set the factor 'dxy3' equal to zero and attempt to solve:

Simplifying
dxy3 = 0

Solving
dxy3 = 0

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

Simplifying
dxy3 = 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 + 3y)' equal to zero and attempt to solve:

Simplifying
1 + 3y = 0

Solving
1 + 3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = 0 + -1
3y = 0 + -1

Combine like terms: 0 + -1 = -1
3y = -1

Add '-3y' to each side of the equation.
3y + -3y = -1 + -3y

Combine like terms: 3y + -3y = 0
0 = -1 + -3y

Simplifying
0 = -1 + -3y

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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