X^2dy+(y-1)dx=0

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Solution for X^2dy+(y-1)dx=0 equation: 


Simplifying
X2dy + (y + -1) * dx = 0

Reorder the terms:
dyX2 + (-1 + y) * dx = 0

Reorder the terms for easier multiplication:
dyX2 + dx(-1 + y) = 0
dyX2 + (-1 * dx + y * dx) = 0
dyX2 + (-1dx + dxy) = 0

Reorder the terms:
-1dx + dxy + dyX2 = 0

Solving
-1dx + dxy + dyX2 = 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), 'd'.
d(-1x + xy + yX2) = 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 '(-1x + xy + yX2)' equal to zero and attempt to solve:

Simplifying
-1x + xy + yX2 = 0

Solving
-1x + xy + yX2 = 0

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

Add 'x' to each side of the equation.
-1x + xy + x + yX2 = 0 + x

Reorder the terms:
-1x + x + xy + yX2 = 0 + x

Combine like terms: -1x + x = 0
0 + xy + yX2 = 0 + x
xy + yX2 = 0 + x
Remove the zero:
xy + yX2 = x

Add '-1xy' to each side of the equation.
xy + -1xy + yX2 = x + -1xy

Combine like terms: xy + -1xy = 0
0 + yX2 = x + -1xy
yX2 = x + -1xy

Add '-1yX2' to each side of the equation.
yX2 + -1yX2 = x + -1xy + -1yX2

Combine like terms: yX2 + -1yX2 = 0
0 = x + -1xy + -1yX2

Simplifying
0 = x + -1xy + -1yX2

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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