(x^2+y^2)dx+(2xy+x^2-3)dy=0

Simple and best practice solution for (x^2+y^2)dx+(2xy+x^2-3)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+(2xy+x^2-3)dy=0 equation: 


Simplifying
(x2 + y2) * dx + (2xy + x2 + -3) * dy = 0

Reorder the terms for easier multiplication:
dx(x2 + y2) + (2xy + x2 + -3) * dy = 0
(x2 * dx + y2 * dx) + (2xy + x2 + -3) * dy = 0

Reorder the terms:
(dxy2 + dx3) + (2xy + x2 + -3) * dy = 0
(dxy2 + dx3) + (2xy + x2 + -3) * dy = 0

Reorder the terms:
dxy2 + dx3 + (-3 + 2xy + x2) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + dx3 + dy(-3 + 2xy + x2) = 0
dxy2 + dx3 + (-3 * dy + 2xy * dy + x2 * dy) = 0

Reorder the terms:
dxy2 + dx3 + (2dxy2 + dx2y + -3dy) = 0
dxy2 + dx3 + (2dxy2 + dx2y + -3dy) = 0

Reorder the terms:
dxy2 + 2dxy2 + dx2y + dx3 + -3dy = 0

Combine like terms: dxy2 + 2dxy2 = 3dxy2
3dxy2 + dx2y + dx3 + -3dy = 0

Solving
3dxy2 + dx2y + dx3 + -3dy = 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(3xy2 + x2y + x3 + -3y) = 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 '(3xy2 + x2y + x3 + -3y)' equal to zero and attempt to solve:

Simplifying
3xy2 + x2y + x3 + -3y = 0

Solving
3xy2 + x2y + x3 + -3y = 0

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

Add '-3xy2' to each side of the equation.
3xy2 + x2y + x3 + -3xy2 + -3y = 0 + -3xy2

Reorder the terms:
3xy2 + -3xy2 + x2y + x3 + -3y = 0 + -3xy2

Combine like terms: 3xy2 + -3xy2 = 0
0 + x2y + x3 + -3y = 0 + -3xy2
x2y + x3 + -3y = 0 + -3xy2
Remove the zero:
x2y + x3 + -3y = -3xy2

Add '-1x2y' to each side of the equation.
x2y + x3 + -1x2y + -3y = -3xy2 + -1x2y

Reorder the terms:
x2y + -1x2y + x3 + -3y = -3xy2 + -1x2y

Combine like terms: x2y + -1x2y = 0
0 + x3 + -3y = -3xy2 + -1x2y
x3 + -3y = -3xy2 + -1x2y

Add '-1x3' to each side of the equation.
x3 + -1x3 + -3y = -3xy2 + -1x2y + -1x3

Combine like terms: x3 + -1x3 = 0
0 + -3y = -3xy2 + -1x2y + -1x3
-3y = -3xy2 + -1x2y + -1x3

Add '3y' to each side of the equation.
-3y + 3y = -3xy2 + -1x2y + -1x3 + 3y

Combine like terms: -3y + 3y = 0
0 = -3xy2 + -1x2y + -1x3 + 3y

Simplifying
0 = -3xy2 + -1x2y + -1x3 + 3y

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:

| An=2N^2+9 | | p=4xy-3 | | 8+4lnx=10 | | (3z+5)x(2z+7)= | | -16=0.4t | | cos*4x-cos*6x=0 | | -4.5w=-81/3 | | -16=-0.4t | | 82/3=-1.3g | | -2a+15= | | -2a+15-15a-45= | | 6v-3=-3 | | 271=16t^2+32t | | 10.5/6.28x=150/360 | | h(t)=16t^2+32t | | 5k-4k=3k-6+2k | | 7(2n+6)-8(5n-3)=3n-7n | | 7=t+5.4 | | jx+py=n | | 2(x+5)-3y=7y | | log*2x+log*x=11 | | 2x-3y+3=11 | | x^2+16x+y+68=0 | | 7=t+5.5 | | 4x-2+x+78=180 | | -25t^2=-h+qt+a | | 6y+x=27 | | -2(3-4)+7=12z-(z+4) | | -4y^2+16y+x-19=0 | | 6f-1=-7 | | -2(x+3)=-4x+32 | | 6f-1=7 |

Equations solver categories