(X+y^2)dx-(2yx)dy=0

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Solution for (X+y^2)dx-(2yx)dy=0 equation: 


Simplifying
(X + y2) * dx + -1(2yx) * dy = 0

Reorder the terms for easier multiplication:
dx(X + y2) + -1(2yx) * dy = 0
(X * dx + y2 * dx) + -1(2yx) * dy = 0
(dxX + dxy2) + -1(2yx) * dy = 0

Remove parenthesis around (2xy)
dxX + dxy2 + -1 * 2xy * dy = 0

Multiply -1 * 2
dxX + dxy2 + -2xy * dy = 0

Multiply xy * dy
dxX + dxy2 + -2dxy2 = 0

Combine like terms: dxy2 + -2dxy2 = -1dxy2
dxX + -1dxy2 = 0

Solving
dxX + -1dxy2 = 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(X + -1y2) = 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 '(X + -1y2)' equal to zero and attempt to solve:

Simplifying
X + -1y2 = 0

Solving
X + -1y2 = 0

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

Add '-1X' to each side of the equation.
X + -1X + -1y2 = 0 + -1X

Combine like terms: X + -1X = 0
0 + -1y2 = 0 + -1X
-1y2 = 0 + -1X
Remove the zero:
-1y2 = -1X

Add 'y2' to each side of the equation.
-1y2 + y2 = -1X + y2

Combine like terms: -1y2 + y2 = 0
0 = -1X + y2

Simplifying
0 = -1X + y2

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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