(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 + -1y2) * dx + (3xy) * dy = 0

Reorder the terms for easier multiplication:
dx(x2 + -1y2) + (3xy) * dy = 0
(x2 * dx + -1y2 * dx) + (3xy) * dy = 0

Reorder the terms:
(-1dxy2 + dx3) + (3xy) * dy = 0
(-1dxy2 + dx3) + (3xy) * dy = 0

Remove parenthesis around (3xy)
-1dxy2 + dx3 + 3xy * dy = 0

Multiply xy * dy
-1dxy2 + dx3 + 3dxy2 = 0

Reorder the terms:
-1dxy2 + 3dxy2 + dx3 = 0

Combine like terms: -1dxy2 + 3dxy2 = 2dxy2
2dxy2 + dx3 = 0

Solving
2dxy2 + 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(2y2 + 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 '(2y2 + x2)' equal to zero and attempt to solve:

Simplifying
2y2 + x2 = 0

Reorder the terms:
x2 + 2y2 = 0

Solving
x2 + 2y2 = 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 + 2y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 2y2 = 0 + -1x2
2y2 = 0 + -1x2
Remove the zero:
2y2 = -1x2

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -1x2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -1x2 + -2y2

Simplifying
0 = -1x2 + -2y2

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:

| 4y^2+23y=-15 | | 94=2(3.14159265358)r | | 18-7yi=3x+28i | | y=tan*2*x | | 5t+8=17 | | 400=2.50c+(50+50c) | | 2m+18-(14-9)=35 | | 3(1[3y-8]1)=21 | | -6/14=3/5c | | 4ysquare+23y=-15 | | 6(3n-6)=-180 | | 2.5x*3.17y=2.84 | | -4-7x=-81 | | 10n+9=-21 | | 2cosx+5=4 | | C=3n+425 | | 114=-6(1+4x) | | 3y=y+y+y | | 4x^3(6y+8)= | | 4x+6+1=17 | | (40x)+(11(1.5x))=620 | | 91-2x=11-10x | | 3x+6=-5x+14 | | 20x^2+39x+15=0 | | (40x)+(11(1.5x))=600 | | (x-2)/3-(x-3)/2=1 | | f(x)=-2+5 | | x^2+36y^2+8x-216y+296=0 | | 2(m-8)=-5m+26 | | 2*(3y+9)=15y-45 | | 21-9d=-33 | | -x+8=-3x+2 |

Equations solver categories