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

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


Simplifying
(3x2 + -1y) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(3x2 + -1y) + -1xdy = 0
(3x2 * dx + -1y * dx) + -1xdy = 0

Reorder the terms:
(-1dxy + 3dx3) + -1xdy = 0
(-1dxy + 3dx3) + -1xdy = 0

Reorder the terms:
-1dxy + -1dxy + 3dx3 = 0

Combine like terms: -1dxy + -1dxy = -2dxy
-2dxy + 3dx3 = 0

Solving
-2dxy + 3dx3 = 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 + 3x2) = 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 + 3x2)' equal to zero and attempt to solve:

Simplifying
-2y + 3x2 = 0

Reorder the terms:
3x2 + -2y = 0

Solving
3x2 + -2y = 0

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

Add '-3x2' to each side of the equation.
3x2 + -3x2 + -2y = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + -2y = 0 + -3x2
-2y = 0 + -3x2
Remove the zero:
-2y = -3x2

Add '2y' to each side of the equation.
-2y + 2y = -3x2 + 2y

Combine like terms: -2y + 2y = 0
0 = -3x2 + 2y

Simplifying
0 = -3x2 + 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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