(X^2+2y^2)dx+(4xy-y^2)dy=0

Simple and best practice solution for (X^2+2y^2)dx+(4xy-y^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+2y^2)dx+(4xy-y^2)dy=0 equation: 


Simplifying
(X2 + 2y2) * dx + (4xy + -1y2) * dy = 0

Reorder the terms for easier multiplication:
dx(X2 + 2y2) + (4xy + -1y2) * dy = 0
(X2 * dx + 2y2 * dx) + (4xy + -1y2) * dy = 0
(dxX2 + 2dxy2) + (4xy + -1y2) * dy = 0

Reorder the terms for easier multiplication:
dxX2 + 2dxy2 + dy(4xy + -1y2) = 0
dxX2 + 2dxy2 + (4xy * dy + -1y2 * dy) = 0
dxX2 + 2dxy2 + (4dxy2 + -1dy3) = 0

Combine like terms: 2dxy2 + 4dxy2 = 6dxy2
dxX2 + 6dxy2 + -1dy3 = 0

Solving
dxX2 + 6dxy2 + -1dy3 = 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(xX2 + 6xy2 + -1y3) = 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 '(xX2 + 6xy2 + -1y3)' equal to zero and attempt to solve:

Simplifying
xX2 + 6xy2 + -1y3 = 0

Solving
xX2 + 6xy2 + -1y3 = 0

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

Add '-1xX2' to each side of the equation.
xX2 + 6xy2 + -1xX2 + -1y3 = 0 + -1xX2

Reorder the terms:
xX2 + -1xX2 + 6xy2 + -1y3 = 0 + -1xX2

Combine like terms: xX2 + -1xX2 = 0
0 + 6xy2 + -1y3 = 0 + -1xX2
6xy2 + -1y3 = 0 + -1xX2
Remove the zero:
6xy2 + -1y3 = -1xX2

Add '-6xy2' to each side of the equation.
6xy2 + -6xy2 + -1y3 = -1xX2 + -6xy2

Combine like terms: 6xy2 + -6xy2 = 0
0 + -1y3 = -1xX2 + -6xy2
-1y3 = -1xX2 + -6xy2

Add 'y3' to each side of the equation.
-1y3 + y3 = -1xX2 + -6xy2 + y3

Combine like terms: -1y3 + y3 = 0
0 = -1xX2 + -6xy2 + y3

Simplifying
0 = -1xX2 + -6xy2 + y3

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:

| 6x-3=2ax+a^2+b | | (7w+4)(2w-3u-5)=0 | | 4xy^2*4y= | | 4(g+3)=6g+4 | | x-x+8= | | ax+b=-14x+14-a | | x^6-y^6/(x^2-y^2) | | x^2+ax+b=x^2-14x+14-a | | -2(2-x)-2=-6 | | 9x^3+6x^2+x=o | | 4x^3-4x^2-40x-32=0 | | F(x)=5x^2-7x-1 | | 4x^2-18xy+g=0 | | 11(x-1)=7x-13 | | bx^2+cx+a=0 | | 9y=24 | | 12vw/33v^2 | | (-q+68)+(q+16)=2(-q+76) | | 6x-6x+9y=12 | | -4x^2+3x^2= | | 2x^3+14x^2-60=0 | | x-2x-3x-x=y | | 8*1/4-16*-7/8 | | x+0.6x=42.39 | | .8=4/5 | | 10x+31y-y+4x= | | 7w-3=1w-12.6 | | r^4-10r^2+9=0 | | -16t^2+3200=0 | | 0.5(2n-3)-0.1=0.(6+2n) | | (2x+5)(2x-7)=0 | | 4m^2-16m+2=0 |

Equations solver categories