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

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


Simplifying
(y2 + 2xy) * dx + x2dy = 0

Reorder the terms:
(2xy + y2) * dx + x2dy = 0

Reorder the terms for easier multiplication:
dx(2xy + y2) + x2dy = 0
(2xy * dx + y2 * dx) + x2dy = 0

Reorder the terms:
(dxy2 + 2dx2y) + x2dy = 0
(dxy2 + 2dx2y) + x2dy = 0

Combine like terms: 2dx2y + dx2y = 3dx2y
dxy2 + 3dx2y = 0

Solving
dxy2 + 3dx2y = 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), 'dxy'.
dxy(y + 3x) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(y + 3x)' equal to zero and attempt to solve:

Simplifying
y + 3x = 0

Reorder the terms:
3x + y = 0

Solving
3x + y = 0

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

Add '-3x' to each side of the equation.
3x + -3x + y = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + y = 0 + -3x
y = 0 + -3x
Remove the zero:
y = -3x

Add '-1y' to each side of the equation.
y + -1y = -3x + -1y

Combine like terms: y + -1y = 0
0 = -3x + -1y

Simplifying
0 = -3x + -1y

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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