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

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


Simplifying
(1 + x4) * dy + x(4y2 + 1) * dx = 0

Reorder the terms for easier multiplication:
dy(1 + x4) + x(4y2 + 1) * dx = 0
(1 * dy + x4 * dy) + x(4y2 + 1) * dx = 0

Reorder the terms:
(dx4y + 1dy) + x(4y2 + 1) * dx = 0
(dx4y + 1dy) + x(4y2 + 1) * dx = 0

Reorder the terms:
dx4y + 1dy + x(1 + 4y2) * dx = 0

Reorder the terms for easier multiplication:
dx4y + 1dy + x * dx(1 + 4y2) = 0

Multiply x * dx
dx4y + 1dy + dx2(1 + 4y2) = 0
dx4y + 1dy + (1 * dx2 + 4y2 * dx2) = 0
dx4y + 1dy + (1dx2 + 4dx2y2) = 0

Reorder the terms:
1dx2 + 4dx2y2 + dx4y + 1dy = 0

Solving
1dx2 + 4dx2y2 + dx4y + 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(x2 + 4x2y2 + x4y + 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 '(x2 + 4x2y2 + x4y + y)' equal to zero and attempt to solve:

Simplifying
x2 + 4x2y2 + x4y + y = 0

Solving
x2 + 4x2y2 + x4y + y = 0

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

Add '-1x2' to each side of the equation.
x2 + 4x2y2 + x4y + -1x2 + y = 0 + -1x2

Reorder the terms:
x2 + -1x2 + 4x2y2 + x4y + y = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 4x2y2 + x4y + y = 0 + -1x2
4x2y2 + x4y + y = 0 + -1x2
Remove the zero:
4x2y2 + x4y + y = -1x2

Add '-4x2y2' to each side of the equation.
4x2y2 + x4y + -4x2y2 + y = -1x2 + -4x2y2

Reorder the terms:
4x2y2 + -4x2y2 + x4y + y = -1x2 + -4x2y2

Combine like terms: 4x2y2 + -4x2y2 = 0
0 + x4y + y = -1x2 + -4x2y2
x4y + y = -1x2 + -4x2y2

Add '-1x4y' to each side of the equation.
x4y + -1x4y + y = -1x2 + -4x2y2 + -1x4y

Combine like terms: x4y + -1x4y = 0
0 + y = -1x2 + -4x2y2 + -1x4y
y = -1x2 + -4x2y2 + -1x4y

Add '-1y' to each side of the equation.
y + -1y = -1x2 + -4x2y2 + -1x4y + -1y

Combine like terms: y + -1y = 0
0 = -1x2 + -4x2y2 + -1x4y + -1y

Simplifying
0 = -1x2 + -4x2y2 + -1x4y + -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:

| 646.8+-1.2y= | | 5.76X^2+2.86X-1.35=8 | | 10+y=10+0.5y | | 7m^2-4m=3m*(m-7/2) | | 3m*(m-7/2) | | 6x-sqrtx=12 | | 4/5x-10=54 | | f(x)=[x-3] | | 91+19m=376 | | 15x+45x-4y= | | 34n-104=338 | | 6m+6.75=63.75 | | 5x^2-6x=4x^2+6x-13 | | 2a+2x+x=70 | | 3x-69=27 | | 4y+7z=17 | | x=385 | | 4n-7=37 | | 3n-7=17 | | 3n-7=16 | | 36z-45/9 | | -16x^2+64x-0=60 | | log(x)+log(x-5)=log(6x) | | -5.7=4.2+b | | 5x-3(6)= | | 1.3=-4.8+a | | -2x/5-4-5 | | x+8.5=10.6 | | 14y^2-12y+3= | | t-2.6=1.2 | | =4x^2+20x-11 | | x^2-4y^2-x+2y=0 |

Equations solver categories