x^2dy+(y+4)dx=0

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Solution for x^2dy+(y+4)dx=0 equation: 


Simplifying
x2dy + (y + 4) * dx = 0

Reorder the terms:
dx2y + (4 + y) * dx = 0

Reorder the terms for easier multiplication:
dx2y + dx(4 + y) = 0
dx2y + (4 * dx + y * dx) = 0
dx2y + (4dx + dxy) = 0

Reorder the terms:
4dx + dxy + dx2y = 0

Solving
4dx + dxy + dx2y = 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(4 + y + xy) = 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 '(4 + y + xy)' equal to zero and attempt to solve:

Simplifying
4 + y + xy = 0

Reorder the terms:
4 + xy + y = 0

Solving
4 + xy + y = 0

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

Add '-4' to each side of the equation.
4 + xy + -4 + y = 0 + -4

Reorder the terms:
4 + -4 + xy + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + xy + y = 0 + -4
xy + y = 0 + -4

Combine like terms: 0 + -4 = -4
xy + y = -4

Add '-1xy' to each side of the equation.
xy + -1xy + y = -4 + -1xy

Combine like terms: xy + -1xy = 0
0 + y = -4 + -1xy
y = -4 + -1xy

Add '-1y' to each side of the equation.
y + -1y = -4 + -1xy + -1y

Combine like terms: y + -1y = 0
0 = -4 + -1xy + -1y

Simplifying
0 = -4 + -1xy + -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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