(Y^2+yx)dy-(x^2)dx=0

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


Simplifying
(Y2 + yx) * dy + -1(x2) * dx = 0

Reorder the terms for easier multiplication:
dy(Y2 + xy) + -1(x2) * dx = 0
(Y2 * dy + xy * dy) + -1(x2) * dx = 0

Reorder the terms:
(dxy2 + dyY2) + -1(x2) * dx = 0
(dxy2 + dyY2) + -1(x2) * dx = 0

Multiply x2 * dx
dxy2 + dyY2 + -1dx3 = 0

Reorder the terms:
dxy2 + -1dx3 + dyY2 = 0

Solving
dxy2 + -1dx3 + dyY2 = 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(xy2 + -1x3 + yY2) = 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 '(xy2 + -1x3 + yY2)' equal to zero and attempt to solve:

Simplifying
xy2 + -1x3 + yY2 = 0

Solving
xy2 + -1x3 + yY2 = 0

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

Add '-1xy2' to each side of the equation.
xy2 + -1x3 + -1xy2 + yY2 = 0 + -1xy2

Reorder the terms:
xy2 + -1xy2 + -1x3 + yY2 = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + -1x3 + yY2 = 0 + -1xy2
-1x3 + yY2 = 0 + -1xy2
Remove the zero:
-1x3 + yY2 = -1xy2

Add 'x3' to each side of the equation.
-1x3 + x3 + yY2 = -1xy2 + x3

Combine like terms: -1x3 + x3 = 0
0 + yY2 = -1xy2 + x3
yY2 = -1xy2 + x3

Add '-1yY2' to each side of the equation.
yY2 + -1yY2 = -1xy2 + x3 + -1yY2

Combine like terms: yY2 + -1yY2 = 0
0 = -1xy2 + x3 + -1yY2

Simplifying
0 = -1xy2 + x3 + -1yY2

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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