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

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


Simplifying
(2xy2 + 3x2y3) * dx + (2x2y + 3x3y2) * dy = 0

Reorder the terms for easier multiplication:
dx(2xy2 + 3x2y3) + (2x2y + 3x3y2) * dy = 0
(2xy2 * dx + 3x2y3 * dx) + (2x2y + 3x3y2) * dy = 0
(2dx2y2 + 3dx3y3) + (2x2y + 3x3y2) * dy = 0

Reorder the terms for easier multiplication:
2dx2y2 + 3dx3y3 + dy(2x2y + 3x3y2) = 0
2dx2y2 + 3dx3y3 + (2x2y * dy + 3x3y2 * dy) = 0
2dx2y2 + 3dx3y3 + (2dx2y2 + 3dx3y3) = 0

Reorder the terms:
2dx2y2 + 2dx2y2 + 3dx3y3 + 3dx3y3 = 0

Combine like terms: 2dx2y2 + 2dx2y2 = 4dx2y2
4dx2y2 + 3dx3y3 + 3dx3y3 = 0

Combine like terms: 3dx3y3 + 3dx3y3 = 6dx3y3
4dx2y2 + 6dx3y3 = 0

Solving
4dx2y2 + 6dx3y3 = 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), '2dx2y2'.
2dx2y2(2 + 3xy) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'dx2y2' equal to zero and attempt to solve:

Simplifying
dx2y2 = 0

Solving
dx2y2 = 0

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

Simplifying
dx2y2 = 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 + 3xy)' equal to zero and attempt to solve:

Simplifying
2 + 3xy = 0

Solving
2 + 3xy = 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 + 3xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3xy = 0 + -2
3xy = 0 + -2

Combine like terms: 0 + -2 = -2
3xy = -2

Add '-3xy' to each side of the equation.
3xy + -3xy = -2 + -3xy

Combine like terms: 3xy + -3xy = 0
0 = -2 + -3xy

Simplifying
0 = -2 + -3xy

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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