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

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


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

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

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

Remove parenthesis around (3xy)
dxy2 + dx3 + 3xy * dy = 0

Multiply xy * dy
dxy2 + dx3 + 3dxy2 = 0

Reorder the terms:
dxy2 + 3dxy2 + dx3 = 0

Combine like terms: dxy2 + 3dxy2 = 4dxy2
4dxy2 + dx3 = 0

Solving
4dxy2 + 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), 'dx'.
dx(4y2 + x2) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(4y2 + x2)' equal to zero and attempt to solve:

Simplifying
4y2 + x2 = 0

Reorder the terms:
x2 + 4y2 = 0

Solving
x2 + 4y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + 4y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 4y2 = 0 + -1x2
4y2 = 0 + -1x2
Remove the zero:
4y2 = -1x2

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -1x2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -1x2 + -4y2

Simplifying
0 = -1x2 + -4y2

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:

| -10(x+5)=-94 | | 24-43=3(x-1)-4 | | 4x+5x-6=2(3x-1) | | 45=3(3-4b) | | X=6y^5+4y^3+2y | | -9u+-48=-4(u+2) | | 4(-2-3n)=-56 | | 4x-5+10y-3=10 | | -9u+48=4(u+2) | | 2x-7=-9x+8 | | X^2-16x+56=y | | -4(-4v+1)=-52 | | (3x-4)+(2x+9)= | | X+7=2x-58 | | 4(2l+3)=36 | | f(1)=36(1)+2(1) | | 570=30+450 | | -3(y-1)+2y=-(y-12) | | 3x-5-5=-1+6x | | 4+3r=r-6 | | n^2+10n-10=0 | | 570=50p(.20)+150p | | 1-4k+2k=k-3-5k-6 | | (q-6)*2=20 | | f(1)=6(1)squared+2(1) | | -[9z-(16z+9)]=9+(6z+4) | | 49xsquared-4= | | 3x+2=4(x+1)-2 | | q=6 | | b+5=11-3b+3b | | 8x+3y=44 | | 570=50p(80)+150p |

Equations solver categories