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

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


Simplifying
y * dx + (x + x2 * y) * dy = 0

Multiply y * dx
dxy + (x + x2 * y) * dy = 0

Multiply x2 * y
dxy + (x + x2y) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(x + x2y) = 0
dxy + (x * dy + x2y * dy) = 0
dxy + (dxy + dx2y2) = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + dx2y2 = 0

Solving
2dxy + dx2y2 = 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(2 + xy) = 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 '(2 + xy)' equal to zero and attempt to solve:

Simplifying
2 + xy = 0

Solving
2 + xy = 0

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

Add '-2' to each side of the equation.
2 + -2 + xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + xy = 0 + -2
xy = 0 + -2

Combine like terms: 0 + -2 = -2
xy = -2

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

Combine like terms: xy + -1xy = 0
0 = -2 + -1xy

Simplifying
0 = -2 + -1xy

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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