(X^2-y^2)dx+3xydu=0

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Solution for (X^2-y^2)dx+3xydu=0 equation: 


Simplifying
(X2 + -1y2) * dx + 3xydu = 0

Reorder the terms for easier multiplication:
dx(X2 + -1y2) + 3xydu = 0
(X2 * dx + -1y2 * dx) + 3xydu = 0
(dxX2 + -1dxy2) + 3xydu = 0

Reorder the terms:
3duxy + dxX2 + -1dxy2 = 0

Solving
3duxy + dxX2 + -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(3uy + X2 + -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 '(3uy + X2 + -1y2)' equal to zero and attempt to solve:

Simplifying
3uy + X2 + -1y2 = 0

Reorder the terms:
X2 + 3uy + -1y2 = 0

Solving
X2 + 3uy + -1y2 = 0

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

Add '-1X2' to each side of the equation.
X2 + 3uy + -1X2 + -1y2 = 0 + -1X2

Reorder the terms:
X2 + -1X2 + 3uy + -1y2 = 0 + -1X2

Combine like terms: X2 + -1X2 = 0
0 + 3uy + -1y2 = 0 + -1X2
3uy + -1y2 = 0 + -1X2
Remove the zero:
3uy + -1y2 = -1X2

Add '-3uy' to each side of the equation.
3uy + -3uy + -1y2 = -1X2 + -3uy

Combine like terms: 3uy + -3uy = 0
0 + -1y2 = -1X2 + -3uy
-1y2 = -1X2 + -3uy

Add 'y2' to each side of the equation.
-1y2 + y2 = -1X2 + -3uy + y2

Combine like terms: -1y2 + y2 = 0
0 = -1X2 + -3uy + y2

Simplifying
0 = -1X2 + -3uy + 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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