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

Simple and best practice solution for (4-y^2)dx-(4-x^2)dy=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


Simplifying
(4 + -1y2) * dx + -1(4 + -1x2) * dy = 0

Reorder the terms for easier multiplication:
dx(4 + -1y2) + -1(4 + -1x2) * dy = 0
(4 * dx + -1y2 * dx) + -1(4 + -1x2) * dy = 0
(4dx + -1dxy2) + -1(4 + -1x2) * dy = 0

Reorder the terms for easier multiplication:
4dx + -1dxy2 + -1dy(4 + -1x2) = 0
4dx + -1dxy2 + (4 * -1dy + -1x2 * -1dy) = 0

Reorder the terms:
4dx + -1dxy2 + (1dx2y + -4dy) = 0
4dx + -1dxy2 + (1dx2y + -4dy) = 0

Solving
4dx + -1dxy2 + 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), 'd'.
d(4x + -1xy2 + x2y + -4y) = 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 + -1xy2 + x2y + -4y)' equal to zero and attempt to solve:

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

Solving
4x + -1xy2 + x2y + -4y = 0

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

Add '-4x' to each side of the equation.
4x + -1xy2 + x2y + -4x + -4y = 0 + -4x

Reorder the terms:
4x + -4x + -1xy2 + x2y + -4y = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + -1xy2 + x2y + -4y = 0 + -4x
-1xy2 + x2y + -4y = 0 + -4x
Remove the zero:
-1xy2 + x2y + -4y = -4x

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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

See similar equations:

| 4x-3=-5x-7 | | 1.7x=x+250 | | .25+176+54= | | 33x=528 | | 9t^6-24t^3-4t-2=0 | | .5+176+10= | | -2a^2+9a+9=0 | | cos(3x+1.2)=.4 | | 10=6x^2-3x-20 | | 10x+7y=18 | | (5p-6)+(p+4)=20m | | 3=18+n*44 | | 3x-4x+x-8+5x= | | 89=4x-3(-3x-8) | | 7x^2+4=2x+29 | | 7-3-10+9-8= | | -5y=3x-1 | | 3d=7v+2 | | 7-m=25 | | 3+0.5(4a+8)=6+f | | 26/850=x/1000 | | -88=-5(1-7a) | | 2a^3-6a^2+20a+3=0 | | 16x^2-70x+49=0 | | B/9 | | 6(2-8x)=-324 | | (1/2x-3/4)=(-5/9) | | B/9= | | 1000=-16x^2+1800 | | C=d-f/x | | -4/7t=6 | | V=3f/h |

Equations solver categories