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

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


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

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

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

Reorder the terms:
(-1dxy2 + 2dx2y + dx3) + (y2 + 2xy + -1x2) * dy = 0
(-1dxy2 + 2dx2y + dx3) + (y2 + 2xy + -1x2) * dy = 0

Reorder the terms:
-1dxy2 + 2dx2y + dx3 + (2xy + -1x2 + y2) * dy = 0

Reorder the terms for easier multiplication:
-1dxy2 + 2dx2y + dx3 + dy(2xy + -1x2 + y2) = 0
-1dxy2 + 2dx2y + dx3 + (2xy * dy + -1x2 * dy + y2 * dy) = 0
-1dxy2 + 2dx2y + dx3 + (2dxy2 + -1dx2y + dy3) = 0

Reorder the terms:
-1dxy2 + 2dxy2 + 2dx2y + -1dx2y + dx3 + dy3 = 0

Combine like terms: -1dxy2 + 2dxy2 = 1dxy2
1dxy2 + 2dx2y + -1dx2y + dx3 + dy3 = 0

Combine like terms: 2dx2y + -1dx2y = 1dx2y
1dxy2 + 1dx2y + dx3 + dy3 = 0

Solving
1dxy2 + 1dx2y + dx3 + dy3 = 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(xy2 + x2y + x3 + y3) = 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 '(xy2 + x2y + x3 + y3)' equal to zero and attempt to solve:

Simplifying
xy2 + x2y + x3 + y3 = 0

Solving
xy2 + x2y + x3 + y3 = 0

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

Add '-1xy2' to each side of the equation.
xy2 + x2y + x3 + -1xy2 + y3 = 0 + -1xy2

Reorder the terms:
xy2 + -1xy2 + x2y + x3 + y3 = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + x2y + x3 + y3 = 0 + -1xy2
x2y + x3 + y3 = 0 + -1xy2
Remove the zero:
x2y + x3 + y3 = -1xy2

Add '-1x2y' to each side of the equation.
x2y + x3 + -1x2y + y3 = -1xy2 + -1x2y

Reorder the terms:
x2y + -1x2y + x3 + y3 = -1xy2 + -1x2y

Combine like terms: x2y + -1x2y = 0
0 + x3 + y3 = -1xy2 + -1x2y
x3 + y3 = -1xy2 + -1x2y

Add '-1x3' to each side of the equation.
x3 + -1x3 + y3 = -1xy2 + -1x2y + -1x3

Combine like terms: x3 + -1x3 = 0
0 + y3 = -1xy2 + -1x2y + -1x3
y3 = -1xy2 + -1x2y + -1x3

Add '-1y3' to each side of the equation.
y3 + -1y3 = -1xy2 + -1x2y + -1x3 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -1xy2 + -1x2y + -1x3 + -1y3

Simplifying
0 = -1xy2 + -1x2y + -1x3 + -1y3

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:

| 8b+6=-7+4(2b+3) | | 5x+3=-107 | | -9=x-8+(-8x)-15 | | 5x+3=107 | | 4r-16=2r | | 8t^2-70t-85=0 | | 4+x^2+3=39 | | 3n-1=2n | | x+x*5=198 | | (4x^2+7)(x^2+2x+8)= | | 0.40= | | -10p^2+9p+1=0 | | 4.8n-3=0 | | 7(2x-1)-5x=12 | | 4x^5(x^3+2x+3)= | | 15k^2-29k+12=0 | | 7(x-3)=7x+21 | | 15k^2-9k+12=0 | | 30(c-60)=28500 | | x+x+161650=318750 | | 7+3m=10+6m | | 48=9.6+a | | 7x=-27-2 | | A+102-21=234 | | (12(t^2))-30t=0 | | b^2-7b+8=0 | | 3c^2-10c-8= | | (6x^2y^5)(2x^5y)= | | 0.11(y-5)+0.42=0.03y-0.40 | | 2x+4(-4)=-10 | | -t^2-2t-2=0 | | B=1.75 |

Equations solver categories