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

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


Simplifying
xdy + (x2 + -3y) * dx = 0

Reorder the terms for easier multiplication:
dxy + dx(x2 + -3y) = 0
dxy + (x2 * dx + -3y * dx) = 0

Reorder the terms:
dxy + (-3dxy + dx3) = 0
dxy + (-3dxy + dx3) = 0

Combine like terms: dxy + -3dxy = -2dxy
-2dxy + dx3 = 0

Solving
-2dxy + dx3 = 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(-2y + x2) = 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 '(-2y + x2)' equal to zero and attempt to solve:

Simplifying
-2y + x2 = 0

Reorder the terms:
x2 + -2y = 0

Solving
x2 + -2y = 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 + -2y = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -2y = 0 + -1x2
-2y = 0 + -1x2
Remove the zero:
-2y = -1x2

Add '2y' to each side of the equation.
-2y + 2y = -1x2 + 2y

Combine like terms: -2y + 2y = 0
0 = -1x2 + 2y

Simplifying
0 = -1x2 + 2y

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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