xe(xy)dy+ye(xy)dy=0

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Solution for xe(xy)dy+ye(xy)dy=0 equation: 


Simplifying
xe(xy) * dy + ye(xy) * dy = 0

Multiply ex * xy
ex2y * dy + ye(xy) * dy = 0

Multiply ex2y * dy
dex2y2 + ye(xy) * dy = 0

Multiply ey * xy
dex2y2 + exy2 * dy = 0

Multiply exy2 * dy
dex2y2 + dexy3 = 0

Reorder the terms:
dexy3 + dex2y2 = 0

Solving
dexy3 + dex2y2 = 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), 'dexy2'.
dexy2(y + x) = 0


Subproblem 1
Set the factor 'dexy2' equal to zero and attempt to solve:

Simplifying
dexy2 = 0

Solving
dexy2 = 0

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

Simplifying
dexy2 = 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 + x)' equal to zero and attempt to solve:

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

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

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

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

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

Simplifying
0 = -1x + -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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