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

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


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

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

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

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

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

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

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

Solving
dx2y + dx3 = 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), 'dx2'.
dx2(y + x) = 0


Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve:

Simplifying
dx2 = 0

Solving
dx2 = 0

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

Simplifying
dx2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(y + x)' equal to zero and attempt to solve:

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

Add '-1x' to each side of the equation.
x + -1x + y = 0 + -1x

Combine like terms: x + -1x = 0
0 + y = 0 + -1x
y = 0 + -1x
Remove the zero:
y = -1x

Add '-1y' to each side of the equation.
y + -1y = -1x + -1y

Combine like terms: y + -1y = 0
0 = -1x + -1y

Simplifying
0 = -1x + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| -1.4a=7.0 | | 4.2x+3.25=-7.25 | | -8n-8(1+7n)=-8 | | y=cx+bx | | .79+24x=1.19x | | 6(y+3)-2y=-6 | | r-4+ -24= -23 | | 9+5m-6+2m= | | 13=y-3x | | 105x+15y=45 | | -x+2=220 | | 5(a+4)=7(a-6) | | 24+7.9x=1.19x | | 12a+1-6a=7 | | (1-8x-3)(-x)= | | 3+0.50x=0.12x-0.12 | | 27n^2+6n-16= | | 4-3h=13 | | -3x-3(-2x-5)=48 | | 56=12m-8m | | (z+2)(z+2)=0 | | 105+950x=1475x | | 56=12m-12m | | 7c-7c=45 | | 3[x-(3-2x)]+5=3(x+11) | | 2y+z=40 | | -4(y+1)=16 | | (4x-5)+(3x+5)+40= | | Y=-400-4 | | -16=4(2+-2x) | | 4x+2(9-6x)=8 | | -8z+-2+6z=-3z-12z |

Equations solver categories