ydx+(2xy-e^2xy)dy=0

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Solution for ydx+(2xy-e^2xy)dy=0 equation: 


Simplifying
ydx + (2xy + -1e2xy) * dy = 0

Reorder the terms:
dxy + (-1e2xy + 2xy) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(-1e2xy + 2xy) = 0
dxy + (-1e2xy * dy + 2xy * dy) = 0
dxy + (-1de2xy2 + 2dxy2) = 0

Reorder the terms:
-1de2xy2 + dxy + 2dxy2 = 0

Solving
-1de2xy2 + dxy + 2dxy2 = 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(-1e2y + 1 + 2y) = 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 '(-1e2y + 1 + 2y)' equal to zero and attempt to solve:

Simplifying
-1e2y + 1 + 2y = 0

Reorder the terms:
1 + -1e2y + 2y = 0

Solving
1 + -1e2y + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1e2y + -1 + 2y = 0 + -1

Reorder the terms:
1 + -1 + -1e2y + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1e2y + 2y = 0 + -1
-1e2y + 2y = 0 + -1

Combine like terms: 0 + -1 = -1
-1e2y + 2y = -1

Add 'e2y' to each side of the equation.
-1e2y + e2y + 2y = -1 + e2y

Combine like terms: -1e2y + e2y = 0
0 + 2y = -1 + e2y
2y = -1 + e2y

Add '-2y' to each side of the equation.
2y + -2y = -1 + e2y + -2y

Combine like terms: 2y + -2y = 0
0 = -1 + e2y + -2y

Simplifying
0 = -1 + e2y + -2y

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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