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

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


Simplifying
(4xy + y2) * dx + (2x2 + 2xy + -1y2) * dy = 0

Reorder the terms for easier multiplication:
dx(4xy + y2) + (2x2 + 2xy + -1y2) * dy = 0
(4xy * dx + y2 * dx) + (2x2 + 2xy + -1y2) * dy = 0

Reorder the terms:
(dxy2 + 4dx2y) + (2x2 + 2xy + -1y2) * dy = 0
(dxy2 + 4dx2y) + (2x2 + 2xy + -1y2) * dy = 0

Reorder the terms:
dxy2 + 4dx2y + (2xy + 2x2 + -1y2) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + 4dx2y + dy(2xy + 2x2 + -1y2) = 0
dxy2 + 4dx2y + (2xy * dy + 2x2 * dy + -1y2 * dy) = 0
dxy2 + 4dx2y + (2dxy2 + 2dx2y + -1dy3) = 0

Reorder the terms:
dxy2 + 2dxy2 + 4dx2y + 2dx2y + -1dy3 = 0

Combine like terms: dxy2 + 2dxy2 = 3dxy2
3dxy2 + 4dx2y + 2dx2y + -1dy3 = 0

Combine like terms: 4dx2y + 2dx2y = 6dx2y
3dxy2 + 6dx2y + -1dy3 = 0

Solving
3dxy2 + 6dx2y + -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), 'dy'.
dy(3xy + 6x2 + -1y2) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(3xy + 6x2 + -1y2)' equal to zero and attempt to solve:

Simplifying
3xy + 6x2 + -1y2 = 0

Solving
3xy + 6x2 + -1y2 = 0

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

Add '-3xy' to each side of the equation.
3xy + 6x2 + -3xy + -1y2 = 0 + -3xy

Reorder the terms:
3xy + -3xy + 6x2 + -1y2 = 0 + -3xy

Combine like terms: 3xy + -3xy = 0
0 + 6x2 + -1y2 = 0 + -3xy
6x2 + -1y2 = 0 + -3xy
Remove the zero:
6x2 + -1y2 = -3xy

Add '-6x2' to each side of the equation.
6x2 + -6x2 + -1y2 = -3xy + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 + -1y2 = -3xy + -6x2
-1y2 = -3xy + -6x2

Add 'y2' to each side of the equation.
-1y2 + y2 = -3xy + -6x2 + y2

Combine like terms: -1y2 + y2 = 0
0 = -3xy + -6x2 + y2

Simplifying
0 = -3xy + -6x2 + y2

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:

| (3p-4)(2p+5)= | | -7u+1=8 | | 4p-80=p | | 5p-6=-21 | | -2h+10=-4h | | 6+5w=-24 | | -9t=-10t+8 | | 174-w=251 | | 8c+5=6c+1 | | 9u=40+u | | -10+8s=6s | | 46=2v+16 | | 9-23=-18 | | -10+7d=4-14d | | .5t+.25(t+16)=4 | | x+(x*0.19)=50 | | 6n=-4+5n | | p^2=2p+35 | | -62-5x=-10x | | 3+4(y+1)=159 | | 4y=3+5y | | n^3-3n^2+2n-168= | | 36/10 | | 6x-1+x+10=11x+2-6x+7-5x | | Cos(4x+pi)=1 | | 4(c-5)-2c=12 | | h=-49t^2+3t+10 | | c^2+5c-7ifc=5 | | (4x+2)=21 | | 6^5/32x^3 | | 6/9*7/8 | | x(x-[7])=x^2-[7]x |

Equations solver categories