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

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


Simplifying
(2 + 3xy2) * dx + -1(4x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(2 + 3xy2) + -1(4x2y) * dy = 0
(2 * dx + 3xy2 * dx) + -1(4x2y) * dy = 0
(2dx + 3dx2y2) + -1(4x2y) * dy = 0

Remove parenthesis around (4x2y)
2dx + 3dx2y2 + -1 * 4x2y * dy = 0

Multiply -1 * 4
2dx + 3dx2y2 + -4x2y * dy = 0

Multiply x2y * dy
2dx + 3dx2y2 + -4dx2y2 = 0

Combine like terms: 3dx2y2 + -4dx2y2 = -1dx2y2
2dx + -1dx2y2 = 0

Solving
2dx + -1dx2y2 = 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), 'dx'.
dx(2 + -1xy2) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 + -1xy2)' equal to zero and attempt to solve:

Simplifying
2 + -1xy2 = 0

Solving
2 + -1xy2 = 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 + -1xy2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1xy2 = 0 + -2
-1xy2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1xy2 = -2

Add 'xy2' to each side of the equation.
-1xy2 + xy2 = -2 + xy2

Combine like terms: -1xy2 + xy2 = 0
0 = -2 + xy2

Simplifying
0 = -2 + xy2

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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