(x^4+y^3)dx+(3xy^2)dy=0

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Solution for (x^4+y^3)dx+(3xy^2)dy=0 equation: 


Simplifying
(x4 + y3) * dx + (3xy2) * dy = 0

Reorder the terms for easier multiplication:
dx(x4 + y3) + (3xy2) * dy = 0
(x4 * dx + y3 * dx) + (3xy2) * dy = 0

Reorder the terms:
(dxy3 + dx5) + (3xy2) * dy = 0
(dxy3 + dx5) + (3xy2) * dy = 0

Remove parenthesis around (3xy2)
dxy3 + dx5 + 3xy2 * dy = 0

Multiply xy2 * dy
dxy3 + dx5 + 3dxy3 = 0

Reorder the terms:
dxy3 + 3dxy3 + dx5 = 0

Combine like terms: dxy3 + 3dxy3 = 4dxy3
4dxy3 + dx5 = 0

Solving
4dxy3 + dx5 = 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), 'dx'.
dx(4y3 + x4) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(4y3 + x4)' equal to zero and attempt to solve:

Simplifying
4y3 + x4 = 0

Reorder the terms:
x4 + 4y3 = 0

Solving
x4 + 4y3 = 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 + 4y3 = 0 + -1x4

Combine like terms: x4 + -1x4 = 0
0 + 4y3 = 0 + -1x4
4y3 = 0 + -1x4
Remove the zero:
4y3 = -1x4

Add '-4y3' to each side of the equation.
4y3 + -4y3 = -1x4 + -4y3

Combine like terms: 4y3 + -4y3 = 0
0 = -1x4 + -4y3

Simplifying
0 = -1x4 + -4y3

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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