ydx=(3x-y^3)dy

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Solution for ydx=(3x-y^3)dy equation: 


Simplifying
ydx = (3x + -1y3) * dy

Reorder the terms for easier multiplication:
dxy = dy(3x + -1y3)
dxy = (3x * dy + -1y3 * dy)
dxy = (3dxy + -1dy4)

Solving
dxy = 3dxy + -1dy4

Solving for variable 'd'.

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

Add '-3dxy' to each side of the equation.
dxy + -3dxy = 3dxy + -3dxy + -1dy4

Combine like terms: dxy + -3dxy = -2dxy
-2dxy = 3dxy + -3dxy + -1dy4

Combine like terms: 3dxy + -3dxy = 0
-2dxy = 0 + -1dy4
-2dxy = -1dy4

Add 'dy4' to each side of the equation.
-2dxy + dy4 = -1dy4 + dy4

Combine like terms: -1dy4 + dy4 = 0
-2dxy + dy4 = 0

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(-2x + y3) = 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 '(-2x + y3)' equal to zero and attempt to solve:

Simplifying
-2x + y3 = 0

Solving
-2x + y3 = 0

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

Add '2x' to each side of the equation.
-2x + 2x + y3 = 0 + 2x

Combine like terms: -2x + 2x = 0
0 + y3 = 0 + 2x
y3 = 0 + 2x
Remove the zero:
y3 = 2x

Add '-1y3' to each side of the equation.
y3 + -1y3 = 2x + -1y3

Combine like terms: y3 + -1y3 = 0
0 = 2x + -1y3

Simplifying
0 = 2x + -1y3

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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