(4-x^2)dy-4ydx=0

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Solution for (4-x^2)dy-4ydx=0 equation: 


Simplifying
(4 + -1x2) * dy + -4ydx = 0

Reorder the terms for easier multiplication:
dy(4 + -1x2) + -4ydx = 0
(4 * dy + -1x2 * dy) + -4ydx = 0

Reorder the terms:
(-1dx2y + 4dy) + -4ydx = 0
(-1dx2y + 4dy) + -4ydx = 0

Reorder the terms:
-4dxy + -1dx2y + 4dy = 0

Solving
-4dxy + -1dx2y + 4dy = 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(-4x + -1x2 + 4) = 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 '(-4x + -1x2 + 4)' equal to zero and attempt to solve:

Simplifying
-4x + -1x2 + 4 = 0

Reorder the terms:
4 + -4x + -1x2 = 0

Solving
4 + -4x + -1x2 = 0

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

Add '-4' to each side of the equation.
4 + -4x + -4 + -1x2 = 0 + -4

Reorder the terms:
4 + -4 + -4x + -1x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4x + -1x2 = 0 + -4
-4x + -1x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4x + -1x2 = -4

Add '4x' to each side of the equation.
-4x + 4x + -1x2 = -4 + 4x

Combine like terms: -4x + 4x = 0
0 + -1x2 = -4 + 4x
-1x2 = -4 + 4x

Add 'x2' to each side of the equation.
-1x2 + x2 = -4 + 4x + x2

Combine like terms: -1x2 + x2 = 0
0 = -4 + 4x + x2

Simplifying
0 = -4 + 4x + x2

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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