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

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


Simplifying
(2x3y) * dx + (x4 + y4) * dy = 0

Remove parenthesis around (2x3y)
2x3y * dx + (x4 + y4) * dy = 0

Multiply x3y * dx
2dx4y + (x4 + y4) * dy = 0

Reorder the terms for easier multiplication:
2dx4y + dy(x4 + y4) = 0
2dx4y + (x4 * dy + y4 * dy) = 0
2dx4y + (dx4y + dy5) = 0

Combine like terms: 2dx4y + dx4y = 3dx4y
3dx4y + dy5 = 0

Solving
3dx4y + dy5 = 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), 'dy'.
dy(3x4 + y4) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(3x4 + y4)' equal to zero and attempt to solve:

Simplifying
3x4 + y4 = 0

Solving
3x4 + y4 = 0

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

Add '-3x4' to each side of the equation.
3x4 + -3x4 + y4 = 0 + -3x4

Combine like terms: 3x4 + -3x4 = 0
0 + y4 = 0 + -3x4
y4 = 0 + -3x4
Remove the zero:
y4 = -3x4

Add '-1y4' to each side of the equation.
y4 + -1y4 = -3x4 + -1y4

Combine like terms: y4 + -1y4 = 0
0 = -3x4 + -1y4

Simplifying
0 = -3x4 + -1y4

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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