(1+2x)dy+(4+y^2)dx=0

Simple and best practice solution for (1+2x)dy+(4+y^2)dx=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 (1+2x)dy+(4+y^2)dx=0 equation: 


Simplifying
(1 + 2x) * dy + (4 + y2) * dx = 0

Reorder the terms for easier multiplication:
dy(1 + 2x) + (4 + y2) * dx = 0
(1 * dy + 2x * dy) + (4 + y2) * dx = 0

Reorder the terms:
(2dxy + 1dy) + (4 + y2) * dx = 0
(2dxy + 1dy) + (4 + y2) * dx = 0

Reorder the terms for easier multiplication:
2dxy + 1dy + dx(4 + y2) = 0
2dxy + 1dy + (4 * dx + y2 * dx) = 0
2dxy + 1dy + (4dx + dxy2) = 0

Reorder the terms:
4dx + 2dxy + dxy2 + 1dy = 0

Solving
4dx + 2dxy + dxy2 + 1dy = 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 + 2xy + xy2 + y) = 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 + 2xy + xy2 + y)' equal to zero and attempt to solve:

Simplifying
4x + 2xy + xy2 + y = 0

Solving
4x + 2xy + xy2 + y = 0

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

Add '-4x' to each side of the equation.
4x + 2xy + xy2 + -4x + y = 0 + -4x

Reorder the terms:
4x + -4x + 2xy + xy2 + y = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + 2xy + xy2 + y = 0 + -4x
2xy + xy2 + y = 0 + -4x
Remove the zero:
2xy + xy2 + y = -4x

Add '-2xy' to each side of the equation.
2xy + xy2 + -2xy + y = -4x + -2xy

Reorder the terms:
2xy + -2xy + xy2 + y = -4x + -2xy

Combine like terms: 2xy + -2xy = 0
0 + xy2 + y = -4x + -2xy
xy2 + y = -4x + -2xy

Add '-1xy2' to each side of the equation.
xy2 + -1xy2 + y = -4x + -2xy + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + y = -4x + -2xy + -1xy2
y = -4x + -2xy + -1xy2

Add '-1y' to each side of the equation.
y + -1y = -4x + -2xy + -1xy2 + -1y

Combine like terms: y + -1y = 0
0 = -4x + -2xy + -1xy2 + -1y

Simplifying
0 = -4x + -2xy + -1xy2 + -1y

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:

| 3(x+2)-4x=x-6 | | x^4+x^3+7x^2+6=o | | n=3m+-7 | | -27=3x^2-18 | | 4/y=17/8 | | 5(7-x)=2(x+7) | | -a^2-8a=0 | | 160x+190y=2400 | | 8v+46=-6(v+4) | | y=4x^2/4x^2 | | y=4x^/4x^2 | | 6(w-7)=4w-34 | | 150x+200y=2400 | | 2(x+3)=5x-5 | | -4U-37=3(U+4) | | 150y+200x=2400 | | 4(U+5)=8U+16 | | y=4x^2*4x^2 | | -1.75-2=-3(-1.75)+5 | | 11x^2+13x-72=1 | | 5/13=6/u | | y=4x^2+4x^2 | | -2+-1.75=5+3(-1.75) | | 6x+2=5x+17 | | 2x+23=12x+67 | | -9y^2+21y+18=0 | | y=4x^2-4x^2 | | 160x+190y=2393 | | 18uv^2x^5+30u^6v^9= | | (-1.75)-2=3(-1.75)+5 | | 2x+3-4(x-3)=0 | | 3=5(u+3)-8u |

Equations solver categories