dx=(x^2-1)*dy

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Solution for dx=(x^2-1)*dy equation: 


Simplifying
dx = (x2 + -1) * dy

Reorder the terms:
dx = (-1 + x2) * dy

Reorder the terms for easier multiplication:
dx = dy(-1 + x2)
dx = (-1 * dy + x2 * dy)

Reorder the terms:
dx = (dx2y + -1dy)
dx = (dx2y + -1dy)

Solving
dx = dx2y + -1dy

Solving for variable 'd'.

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

Add '-1dx2y' to each side of the equation.
dx + -1dx2y = dx2y + -1dx2y + -1dy

Combine like terms: dx2y + -1dx2y = 0
dx + -1dx2y = 0 + -1dy
dx + -1dx2y = -1dy

Add 'dy' to each side of the equation.
dx + -1dx2y + dy = -1dy + dy

Combine like terms: -1dy + dy = 0
dx + -1dx2y + dy = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(x + -1x2y + y) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(x + -1x2y + y)' equal to zero and attempt to solve:

Simplifying
x + -1x2y + y = 0

Solving
x + -1x2y + y = 0

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

Add '-1x' to each side of the equation.
x + -1x2y + -1x + y = 0 + -1x

Reorder the terms:
x + -1x + -1x2y + y = 0 + -1x

Combine like terms: x + -1x = 0
0 + -1x2y + y = 0 + -1x
-1x2y + y = 0 + -1x
Remove the zero:
-1x2y + y = -1x

Add 'x2y' to each side of the equation.
-1x2y + x2y + y = -1x + x2y

Combine like terms: -1x2y + x2y = 0
0 + y = -1x + x2y
y = -1x + x2y

Add '-1y' to each side of the equation.
y + -1y = -1x + x2y + -1y

Combine like terms: y + -1y = 0
0 = -1x + x2y + -1y

Simplifying
0 = -1x + x2y + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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