(12x^2+y^2+1)dx+(2xy-12y^3)dy=0

Simple and best practice solution for (12x^2+y^2+1)dx+(2xy-12y^3)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 (12x^2+y^2+1)dx+(2xy-12y^3)dy=0 equation: 


Simplifying
(12x2 + y2 + 1) * dx + (2xy + -12y3) * dy = 0

Reorder the terms:
(1 + 12x2 + y2) * dx + (2xy + -12y3) * dy = 0

Reorder the terms for easier multiplication:
dx(1 + 12x2 + y2) + (2xy + -12y3) * dy = 0
(1 * dx + 12x2 * dx + y2 * dx) + (2xy + -12y3) * dy = 0

Reorder the terms:
(1dx + dxy2 + 12dx3) + (2xy + -12y3) * dy = 0
(1dx + dxy2 + 12dx3) + (2xy + -12y3) * dy = 0

Reorder the terms for easier multiplication:
1dx + dxy2 + 12dx3 + dy(2xy + -12y3) = 0
1dx + dxy2 + 12dx3 + (2xy * dy + -12y3 * dy) = 0
1dx + dxy2 + 12dx3 + (2dxy2 + -12dy4) = 0

Reorder the terms:
1dx + dxy2 + 2dxy2 + 12dx3 + -12dy4 = 0

Combine like terms: dxy2 + 2dxy2 = 3dxy2
1dx + 3dxy2 + 12dx3 + -12dy4 = 0

Solving
1dx + 3dxy2 + 12dx3 + -12dy4 = 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(x + 3xy2 + 12x3 + -12y4) = 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 '(x + 3xy2 + 12x3 + -12y4)' equal to zero and attempt to solve:

Simplifying
x + 3xy2 + 12x3 + -12y4 = 0

Solving
x + 3xy2 + 12x3 + -12y4 = 0

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

Add '-1x' to each side of the equation.
x + 3xy2 + 12x3 + -1x + -12y4 = 0 + -1x

Reorder the terms:
x + -1x + 3xy2 + 12x3 + -12y4 = 0 + -1x

Combine like terms: x + -1x = 0
0 + 3xy2 + 12x3 + -12y4 = 0 + -1x
3xy2 + 12x3 + -12y4 = 0 + -1x
Remove the zero:
3xy2 + 12x3 + -12y4 = -1x

Add '-3xy2' to each side of the equation.
3xy2 + 12x3 + -3xy2 + -12y4 = -1x + -3xy2

Reorder the terms:
3xy2 + -3xy2 + 12x3 + -12y4 = -1x + -3xy2

Combine like terms: 3xy2 + -3xy2 = 0
0 + 12x3 + -12y4 = -1x + -3xy2
12x3 + -12y4 = -1x + -3xy2

Add '-12x3' to each side of the equation.
12x3 + -12x3 + -12y4 = -1x + -3xy2 + -12x3

Combine like terms: 12x3 + -12x3 = 0
0 + -12y4 = -1x + -3xy2 + -12x3
-12y4 = -1x + -3xy2 + -12x3

Add '12y4' to each side of the equation.
-12y4 + 12y4 = -1x + -3xy2 + -12x3 + 12y4

Combine like terms: -12y4 + 12y4 = 0
0 = -1x + -3xy2 + -12x3 + 12y4

Simplifying
0 = -1x + -3xy2 + -12x3 + 12y4

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:

| -x/0.55=20.1 | | 7b+23=x | | 2.1b^7=64.8 | | 3.6r=-43.2 | | -1.005y=-20.1 | | x^2+Y^2+2xyi=-3+4i | | 7x^2+14x-18=3 | | x^4+2x^3+2x^2+2x-8=0 | | 180=3/7x | | -cos^2X+cos^4X=sin^4X-sin^2X | | b^3=-512 | | sqrt(10b^4/2b^3)= | | sqrt10b^4/2b^3= | | 3(2x-5)(x+3)= | | -5x+7=22-x | | 3.2=x/-5.4 | | b^4/b^3= | | Log(x+19)=0 | | -10X=13X+14 | | 5x^2+33x-6=8 | | 12ex-5=48 | | p/-1.2=-0.91 | | 16x^4-144=0 | | 10x=-13x+14 | | (w+2)(w^2-3w+8)= | | -4.5m=67.5 | | -n+7(8n+7)=434 | | 3q^2-80q+170=0 | | 1/25=3/5m | | sqrt(x^2+8x+16)= | | x^2=1/16 | | 10x=13x+14 |

Equations solver categories