(Y^2+-1x^2)*dx+(3xy)*dy=0

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Solution for (Y^2+-1x^2)*dx+(3xy)*dy=0 equation: 


Simplifying
(Y2 + -1x2) * dx + (3xy) * dy = 0

Reorder the terms for easier multiplication:
dx(Y2 + -1x2) + (3xy) * dy = 0
(Y2 * dx + -1x2 * dx) + (3xy) * dy = 0
(dxY2 + -1dx3) + (3xy) * dy = 0

Remove parenthesis around (3xy)
dxY2 + -1dx3 + 3xy * dy = 0

Multiply xy * dy
dxY2 + -1dx3 + 3dxy2 = 0

Reorder the terms:
dxY2 + 3dxy2 + -1dx3 = 0

Solving
dxY2 + 3dxy2 + -1dx3 = 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(Y2 + 3y2 + -1x2) = 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 '(Y2 + 3y2 + -1x2)' equal to zero and attempt to solve:

Simplifying
Y2 + 3y2 + -1x2 = 0

Reorder the terms:
Y2 + -1x2 + 3y2 = 0

Solving
Y2 + -1x2 + 3y2 = 0

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

Add '-1Y2' to each side of the equation.
Y2 + -1x2 + -1Y2 + 3y2 = 0 + -1Y2

Reorder the terms:
Y2 + -1Y2 + -1x2 + 3y2 = 0 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
0 + -1x2 + 3y2 = 0 + -1Y2
-1x2 + 3y2 = 0 + -1Y2
Remove the zero:
-1x2 + 3y2 = -1Y2

Add 'x2' to each side of the equation.
-1x2 + x2 + 3y2 = -1Y2 + x2

Combine like terms: -1x2 + x2 = 0
0 + 3y2 = -1Y2 + x2
3y2 = -1Y2 + x2

Add '-3y2' to each side of the equation.
3y2 + -3y2 = -1Y2 + x2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = -1Y2 + x2 + -3y2

Simplifying
0 = -1Y2 + x2 + -3y2

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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