(x^2+xy+y^2)dx=x^2dy

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


Simplifying
(x2 + xy + y2) * dx = x2dy

Reorder the terms:
(xy + x2 + y2) * dx = x2dy

Reorder the terms for easier multiplication:
dx(xy + x2 + y2) = x2dy
(xy * dx + x2 * dx + y2 * dx) = x2dy

Reorder the terms:
(dxy2 + dx2y + dx3) = x2dy
(dxy2 + dx2y + dx3) = x2dy

Add '-1dx2y' to each side of the equation.
dxy2 + dx2y + -1dx2y + dx3 = dx2y + -1dx2y

Combine like terms: dx2y + -1dx2y = 0
dxy2 + 0 + dx3 = dx2y + -1dx2y
dxy2 + dx3 = dx2y + -1dx2y

Combine like terms: dx2y + -1dx2y = 0
dxy2 + dx3 = 0

Solving
dxy2 + dx3 = 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), 'dx'.
dx(y2 + x2) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(y2 + x2)' equal to zero and attempt to solve:

Simplifying
y2 + x2 = 0

Reorder the terms:
x2 + y2 = 0

Solving
x2 + y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + y2 = 0 + -1x2
y2 = 0 + -1x2
Remove the zero:
y2 = -1x2

Add '-1y2' to each side of the equation.
y2 + -1y2 = -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -1x2 + -1y2

Simplifying
0 = -1x2 + -1y2

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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