(6x^2y^2+4y^4)dx+(2x^3y-4xy^3)dy=0

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Solution for (6x^2y^2+4y^4)dx+(2x^3y-4xy^3)dy=0 equation:


Simplifying
(6x2y2 + 4y4) * dx + (2x3y + -4xy3) * dy = 0

Reorder the terms for easier multiplication:
dx(6x2y2 + 4y4) + (2x3y + -4xy3) * dy = 0
(6x2y2 * dx + 4y4 * dx) + (2x3y + -4xy3) * dy = 0

Reorder the terms:
(4dxy4 + 6dx3y2) + (2x3y + -4xy3) * dy = 0
(4dxy4 + 6dx3y2) + (2x3y + -4xy3) * dy = 0

Reorder the terms:
4dxy4 + 6dx3y2 + (-4xy3 + 2x3y) * dy = 0

Reorder the terms for easier multiplication:
4dxy4 + 6dx3y2 + dy(-4xy3 + 2x3y) = 0
4dxy4 + 6dx3y2 + (-4xy3 * dy + 2x3y * dy) = 0
4dxy4 + 6dx3y2 + (-4dxy4 + 2dx3y2) = 0

Reorder the terms:
4dxy4 + -4dxy4 + 6dx3y2 + 2dx3y2 = 0

Combine like terms: 4dxy4 + -4dxy4 = 0
0 + 6dx3y2 + 2dx3y2 = 0
6dx3y2 + 2dx3y2 = 0

Combine like terms: 6dx3y2 + 2dx3y2 = 8dx3y2
8dx3y2 = 0

Solving
8dx3y2 = 0

Solving for variable 'd'.

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

Divide each side by '8'.
dx3y2 = 0

Simplifying
dx3y2 = 0

The solution to this equation could not be determined.

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