y^2dx+(x-2)dy=0

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


Simplifying
y2dx + (x + -2) * dy = 0

Reorder the terms:
dxy2 + (-2 + x) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + dy(-2 + x) = 0
dxy2 + (-2 * dy + x * dy) = 0

Reorder the terms:
dxy2 + (dxy + -2dy) = 0
dxy2 + (dxy + -2dy) = 0

Reorder the terms:
dxy + dxy2 + -2dy = 0

Solving
dxy + dxy2 + -2dy = 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), 'dy'.
dy(x + xy + -2) = 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 '(x + xy + -2)' equal to zero and attempt to solve:

Simplifying
x + xy + -2 = 0

Reorder the terms:
-2 + x + xy = 0

Solving
-2 + x + xy = 0

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

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

Reorder the terms:
-2 + 2 + x + xy = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x + xy = 0 + 2
x + xy = 0 + 2

Combine like terms: 0 + 2 = 2
x + xy = 2

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

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

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

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

Simplifying
0 = 2 + -1x + -1xy

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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