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

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


Simplifying
2x * y * dx + (y2 + -1x2) * dy = 0

Multiply x * y
2xy * dx + (y2 + -1x2) * dy = 0

Multiply xy * dx
2dx2y + (y2 + -1x2) * dy = 0

Reorder the terms:
2dx2y + (-1x2 + y2) * dy = 0

Reorder the terms for easier multiplication:
2dx2y + dy(-1x2 + y2) = 0
2dx2y + (-1x2 * dy + y2 * dy) = 0
2dx2y + (-1dx2y + dy3) = 0

Combine like terms: 2dx2y + -1dx2y = 1dx2y
1dx2y + dy3 = 0

Solving
1dx2y + dy3 = 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), 'dy'.
dy(x2 + y2) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(x2 + y2)' equal to zero and attempt to solve:

Simplifying
x2 + y2 = 0

Solving
x2 + y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + y2 = 0 + -1x2
y2 = 0 + -1x2
Remove the zero:
y2 = -1x2

Add '-1y2' to each side of the equation.
y2 + -1y2 = -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -1x2 + -1y2

Simplifying
0 = -1x2 + -1y2

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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