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

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


Simplifying
2y2dx + (2x + 3xy) * dy = 0

Reorder the terms for easier multiplication:
2dxy2 + dy(2x + 3xy) = 0
2dxy2 + (2x * dy + 3xy * dy) = 0
2dxy2 + (2dxy + 3dxy2) = 0

Reorder the terms:
2dxy + 2dxy2 + 3dxy2 = 0

Combine like terms: 2dxy2 + 3dxy2 = 5dxy2
2dxy + 5dxy2 = 0

Solving
2dxy + 5dxy2 = 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), 'dxy'.
dxy(2 + 5y) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 + 5y)' equal to zero and attempt to solve:

Simplifying
2 + 5y = 0

Solving
2 + 5y = 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 + 5y = 0 + -2

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

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

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

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

Simplifying
0 = -2 + -5y

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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