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

Simple and best practice solution for (x+4y^2)dy+2ydx=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 (x+4y^2)dy+2ydx=0 equation: 


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

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

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

Combine like terms: dxy + 2dxy = 3dxy
3dxy + 4dy3 = 0

Solving
3dxy + 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(3x + 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 '(3x + 4y2)' equal to zero and attempt to solve:

Simplifying
3x + 4y2 = 0

Solving
3x + 4y2 = 0

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

Add '-3x' to each side of the equation.
3x + -3x + 4y2 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 4y2 = 0 + -3x
4y2 = 0 + -3x
Remove the zero:
4y2 = -3x

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -3x + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -3x + -4y2

Simplifying
0 = -3x + -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.

See similar equations:

| M^2+M^2= | | 2*2=x+y-3 | | 6x^2-70x+125=0 | | -8=6+x | | 2x=y*2 | | a/a-9=3/10 | | y=x^5-5x^3-12x^2+28x | | -2x^3-2x^2+8x+8=0 | | 1+4x=x-11 | | 10x-4x=30 | | 2x-95=-8x+85 | | 10p^2+7p+1= | | y/2=x^3 | | 6x+5=x+65 | | 16x^2y/24xy^3 | | 2(6x-5)+x=60-x | | -3x^2-4=0 | | pi^3=x+y^78-sqrt(a) | | 2x^3+10x^2+12x-120=0 | | N=42+2M | | (3x-2)(x-7)=0 | | x^2+3x+5=10 | | pi=2y/x | | x^3+6x^2+10x-120=0 | | 7k^2-58k-45=0 | | x=10y+2 | | 128/x | | 7/8=2x | | 18x^2-24=0 | | 4+0= | | -3-(3x-2)=11 | | 0=a(a+2) |

Equations solver categories