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

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


Simplifying
(3xy2 + 2x) * dx + 2x2y * dy = 0

Reorder the terms:
(2x + 3xy2) * dx + 2x2y * dy = 0

Reorder the terms for easier multiplication:
dx(2x + 3xy2) + 2x2y * dy = 0
(2x * dx + 3xy2 * dx) + 2x2y * dy = 0
(2dx2 + 3dx2y2) + 2x2y * dy = 0

Multiply x2y * dy
2dx2 + 3dx2y2 + 2dx2y2 = 0

Combine like terms: 3dx2y2 + 2dx2y2 = 5dx2y2
2dx2 + 5dx2y2 = 0

Solving
2dx2 + 5dx2y2 = 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), 'dx2'.
dx2(2 + 5y2) = 0


Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve:

Simplifying
dx2 = 0

Solving
dx2 = 0

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

Simplifying
dx2 = 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 '(2 + 5y2)' equal to zero and attempt to solve:

Simplifying
2 + 5y2 = 0

Solving
2 + 5y2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5y2 = 0 + -2
5y2 = 0 + -2

Combine like terms: 0 + -2 = -2
5y2 = -2

Add '-5y2' to each side of the equation.
5y2 + -5y2 = -2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
0 = -2 + -5y2

Simplifying
0 = -2 + -5y2

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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