(11+4y^2)dy+2ydx=0

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Solution for (11+4y^2)dy+2ydx=0 equation: 


Simplifying
(11 + 4y2) * dy + 2ydx = 0

Reorder the terms for easier multiplication:
dy(11 + 4y2) + 2ydx = 0
(11 * dy + 4y2 * dy) + 2ydx = 0
(11dy + 4dy3) + 2ydx = 0

Reorder the terms:
2dxy + 11dy + 4dy3 = 0

Solving
2dxy + 11dy + 4dy3 = 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), 'dy'.
dy(2x + 11 + 4y2) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(2x + 11 + 4y2)' equal to zero and attempt to solve:

Simplifying
2x + 11 + 4y2 = 0

Reorder the terms:
11 + 2x + 4y2 = 0

Solving
11 + 2x + 4y2 = 0

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

Add '-11' to each side of the equation.
11 + 2x + -11 + 4y2 = 0 + -11

Reorder the terms:
11 + -11 + 2x + 4y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x + 4y2 = 0 + -11
2x + 4y2 = 0 + -11

Combine like terms: 0 + -11 = -11
2x + 4y2 = -11

Add '-2x' to each side of the equation.
2x + -2x + 4y2 = -11 + -2x

Combine like terms: 2x + -2x = 0
0 + 4y2 = -11 + -2x
4y2 = -11 + -2x

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -11 + -2x + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -11 + -2x + -4y2

Simplifying
0 = -11 + -2x + -4y2

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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