(4+y^2)dx+(9+x^2)dy=0

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Solution for (4+y^2)dx+(9+x^2)dy=0 equation: 


Simplifying
(4 + y2) * dx + (9 + x2) * dy = 0

Reorder the terms for easier multiplication:
dx(4 + y2) + (9 + x2) * dy = 0
(4 * dx + y2 * dx) + (9 + x2) * dy = 0
(4dx + dxy2) + (9 + x2) * dy = 0

Reorder the terms for easier multiplication:
4dx + dxy2 + dy(9 + x2) = 0
4dx + dxy2 + (9 * dy + x2 * dy) = 0

Reorder the terms:
4dx + dxy2 + (dx2y + 9dy) = 0
4dx + dxy2 + (dx2y + 9dy) = 0

Solving
4dx + dxy2 + dx2y + 9dy = 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), 'd'.
d(4x + xy2 + x2y + 9y) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(4x + xy2 + x2y + 9y)' equal to zero and attempt to solve:

Simplifying
4x + xy2 + x2y + 9y = 0

Solving
4x + xy2 + x2y + 9y = 0

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

Add '-4x' to each side of the equation.
4x + xy2 + x2y + -4x + 9y = 0 + -4x

Reorder the terms:
4x + -4x + xy2 + x2y + 9y = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + xy2 + x2y + 9y = 0 + -4x
xy2 + x2y + 9y = 0 + -4x
Remove the zero:
xy2 + x2y + 9y = -4x

Add '-1xy2' to each side of the equation.
xy2 + x2y + -1xy2 + 9y = -4x + -1xy2

Reorder the terms:
xy2 + -1xy2 + x2y + 9y = -4x + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + x2y + 9y = -4x + -1xy2
x2y + 9y = -4x + -1xy2

Add '-1x2y' to each side of the equation.
x2y + -1x2y + 9y = -4x + -1xy2 + -1x2y

Combine like terms: x2y + -1x2y = 0
0 + 9y = -4x + -1xy2 + -1x2y
9y = -4x + -1xy2 + -1x2y

Add '-9y' to each side of the equation.
9y + -9y = -4x + -1xy2 + -1x2y + -9y

Combine like terms: 9y + -9y = 0
0 = -4x + -1xy2 + -1x2y + -9y

Simplifying
0 = -4x + -1xy2 + -1x2y + -9y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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