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

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


Simplifying
(1 + y2 + xy2) * dx + (x2y + Y + 2x) * dy = 0

Reorder the terms:
(1 + xy2 + y2) * dx + (x2y + Y + 2x) * dy = 0

Reorder the terms for easier multiplication:
dx(1 + xy2 + y2) + (x2y + Y + 2x) * dy = 0
(1 * dx + xy2 * dx + y2 * dx) + (x2y + Y + 2x) * dy = 0

Reorder the terms:
(1dx + dxy2 + dx2y2) + (x2y + Y + 2x) * dy = 0
(1dx + dxy2 + dx2y2) + (x2y + Y + 2x) * dy = 0

Reorder the terms:
1dx + dxy2 + dx2y2 + (Y + 2x + x2y) * dy = 0

Reorder the terms for easier multiplication:
1dx + dxy2 + dx2y2 + dy(Y + 2x + x2y) = 0
1dx + dxy2 + dx2y2 + (Y * dy + 2x * dy + x2y * dy) = 0

Reorder the terms:
1dx + dxy2 + dx2y2 + (2dxy + dx2y2 + dyY) = 0
1dx + dxy2 + dx2y2 + (2dxy + dx2y2 + dyY) = 0

Reorder the terms:
1dx + 2dxy + dxy2 + dx2y2 + dx2y2 + dyY = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
1dx + 2dxy + dxy2 + 2dx2y2 + dyY = 0

Solving
1dx + 2dxy + dxy2 + 2dx2y2 + dyY = 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 + 2xy + xy2 + 2x2y2 + yY) = 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 + 2xy + xy2 + 2x2y2 + yY)' equal to zero and attempt to solve:

Simplifying
x + 2xy + xy2 + 2x2y2 + yY = 0

Solving
x + 2xy + xy2 + 2x2y2 + yY = 0

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

Add '-1x' to each side of the equation.
x + 2xy + xy2 + 2x2y2 + -1x + yY = 0 + -1x

Reorder the terms:
x + -1x + 2xy + xy2 + 2x2y2 + yY = 0 + -1x

Combine like terms: x + -1x = 0
0 + 2xy + xy2 + 2x2y2 + yY = 0 + -1x
2xy + xy2 + 2x2y2 + yY = 0 + -1x
Remove the zero:
2xy + xy2 + 2x2y2 + yY = -1x

Add '-2xy' to each side of the equation.
2xy + xy2 + 2x2y2 + -2xy + yY = -1x + -2xy

Reorder the terms:
2xy + -2xy + xy2 + 2x2y2 + yY = -1x + -2xy

Combine like terms: 2xy + -2xy = 0
0 + xy2 + 2x2y2 + yY = -1x + -2xy
xy2 + 2x2y2 + yY = -1x + -2xy

Add '-1xy2' to each side of the equation.
xy2 + 2x2y2 + -1xy2 + yY = -1x + -2xy + -1xy2

Reorder the terms:
xy2 + -1xy2 + 2x2y2 + yY = -1x + -2xy + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + 2x2y2 + yY = -1x + -2xy + -1xy2
2x2y2 + yY = -1x + -2xy + -1xy2

Add '-2x2y2' to each side of the equation.
2x2y2 + -2x2y2 + yY = -1x + -2xy + -1xy2 + -2x2y2

Combine like terms: 2x2y2 + -2x2y2 = 0
0 + yY = -1x + -2xy + -1xy2 + -2x2y2
yY = -1x + -2xy + -1xy2 + -2x2y2

Add '-1yY' to each side of the equation.
yY + -1yY = -1x + -2xy + -1xy2 + -2x2y2 + -1yY

Combine like terms: yY + -1yY = 0
0 = -1x + -2xy + -1xy2 + -2x2y2 + -1yY

Simplifying
0 = -1x + -2xy + -1xy2 + -2x2y2 + -1yY

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:

| 4z*10-8=5 | | 42*10-8=5 | | 4(x-2)=5x-12 | | 31!/15!16! | | x*10-4=4 | | z*7-6=9 | | 34=9+x | | 0.9y=54 | | X+3x=15600 | | X=15600/3x | | 3x=15600/x | | t*4-2=13 | | X=3x-15600 | | 36x^2+2=9 | | a*5+5=13 | | a+2b=36 | | a=2b+36 | | X=850/(300-x) | | 850=3x-250 | | X+(x+300)=850 | | y=x-4ln(3x-9) | | (2x^4-27)/(x^3-x) | | 8x+22=-1 | | x+7.9=4.9 | | (4z^2)-12=0 | | 5x^2-10=1 | | f(3a)=2(3a)62-4 | | 3x=550 | | 4(7-0.5y)+2y=28 | | 3a^2-9=215 | | (b^2)+2b-48=0 | | b=1/2kp |

Equations solver categories