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

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


Simplifying
(x2y + y3dx + -2x3dy) = 0

Reorder the terms:
(dxy3 + -2dx3y + x2y) = 0

Remove parenthesis around (dxy3 + -2dx3y + x2y)
dxy3 + -2dx3y + x2y = 0

Solving
dxy3 + -2dx3y + x2y = 0

Solving for variable 'd'.

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

Add '-1x2y' to each side of the equation.
dxy3 + -2dx3y + x2y + -1x2y = 0 + -1x2y

Combine like terms: x2y + -1x2y = 0
dxy3 + -2dx3y + 0 = 0 + -1x2y
dxy3 + -2dx3y = 0 + -1x2y
Remove the zero:
dxy3 + -2dx3y = -1x2y

Combine like terms: -1x2y + x2y = 0
dxy3 + -2dx3y + x2y = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(dy2 + -2dx2 + x) = 0


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

Simplifying
xy = 0

Solving
xy = 0

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

Add '-1xy' to each side of the equation.
xy + -1xy = 0 + -1xy
Remove the zero:
0 = -1xy

Simplifying
0 = -1xy

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 '(dy2 + -2dx2 + x)' equal to zero and attempt to solve:

Simplifying
dy2 + -2dx2 + x = 0

Reorder the terms:
-2dx2 + dy2 + x = 0

Solving
-2dx2 + dy2 + x = 0

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

Add '-1x' to each side of the equation.
-2dx2 + dy2 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-2dx2 + dy2 + 0 = 0 + -1x
-2dx2 + dy2 = 0 + -1x
Remove the zero:
-2dx2 + dy2 = -1x

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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