((6xy)-y^3)dx+(4y+(3x^2)-(3xy^2))dy=0

Simple and best practice solution for ((6xy)-y^3)dx+(4y+(3x^2)-(3xy^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 ((6xy)-y^3)dx+(4y+(3x^2)-(3xy^2))dy=0 equation: 


Simplifying
((6xy) + -1y3) * dx + (4y + (3x2) + -1(3xy2)) * dy = 0

Reorder the terms for easier multiplication:
dx((6xy) + -1y3) + (4y + (3x2) + -1(3xy2)) * dy = 0
((6xy) * dx + -1y3 * dx) + (4y + (3x2) + -1(3xy2)) * dy = 0

Reorder the terms:
(-1dxy3 + 6dx2y) + (4y + (3x2) + -1(3xy2)) * dy = 0
(-1dxy3 + 6dx2y) + (4y + (3x2) + -1(3xy2)) * dy = 0

Remove parenthesis around (3xy2)
-1dxy3 + 6dx2y + (4y + (3x2) + -1 * 3xy2) * dy = 0

Multiply -1 * 3
-1dxy3 + 6dx2y + (4y + (3x2) + -3xy2) * dy = 0

Reorder the terms:
-1dxy3 + 6dx2y + (-3xy2 + (3x2) + 4y) * dy = 0

Reorder the terms for easier multiplication:
-1dxy3 + 6dx2y + dy(-3xy2 + (3x2) + 4y) = 0
-1dxy3 + 6dx2y + (-3xy2 * dy + (3x2) * dy + 4y * dy) = 0
-1dxy3 + 6dx2y + (-3dxy3 + 3dx2y + 4dy2) = 0

Reorder the terms:
-1dxy3 + -3dxy3 + 6dx2y + 3dx2y + 4dy2 = 0

Combine like terms: -1dxy3 + -3dxy3 = -4dxy3
-4dxy3 + 6dx2y + 3dx2y + 4dy2 = 0

Combine like terms: 6dx2y + 3dx2y = 9dx2y
-4dxy3 + 9dx2y + 4dy2 = 0

Solving
-4dxy3 + 9dx2y + 4dy2 = 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(-4xy2 + 9x2 + 4y) = 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 '(-4xy2 + 9x2 + 4y)' equal to zero and attempt to solve:

Simplifying
-4xy2 + 9x2 + 4y = 0

Solving
-4xy2 + 9x2 + 4y = 0

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

Add '4xy2' to each side of the equation.
-4xy2 + 9x2 + 4xy2 + 4y = 0 + 4xy2

Reorder the terms:
-4xy2 + 4xy2 + 9x2 + 4y = 0 + 4xy2

Combine like terms: -4xy2 + 4xy2 = 0
0 + 9x2 + 4y = 0 + 4xy2
9x2 + 4y = 0 + 4xy2
Remove the zero:
9x2 + 4y = 4xy2

Add '-9x2' to each side of the equation.
9x2 + -9x2 + 4y = 4xy2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
0 + 4y = 4xy2 + -9x2
4y = 4xy2 + -9x2

Add '-4y' to each side of the equation.
4y + -4y = 4xy2 + -9x2 + -4y

Combine like terms: 4y + -4y = 0
0 = 4xy2 + -9x2 + -4y

Simplifying
0 = 4xy2 + -9x2 + -4y

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:

| 59-6x=13-9x | | 3(2x+2)-3x=6+3x | | 3x+7=6x+11 | | 8-2y=-5-5y | | 1-(-4)=x | | 5x+3=5+3x | | 2-(-1)=x | | x*3x=27 | | 5+3=5+3x | | Y=15x-2x^2 | | 11(5.45)+7.33B=6.14(11+B) | | 1+7(x-8)=2-7(x-6) | | 300s=20 | | -4+5*y+1= | | -x^2+x+10=0 | | 8=b/5-3 | | (2x^2+5)(5x-4)= | | 34-9x=31 | | 22+-3x=-8 | | 11m+2n-3m+8n= | | 5n-12=9n+7 | | 10y^2-25y=0 | | 9(2.8a-1.3)=18.4a-11.7+6.8a | | 5(4x+1)+2x=2(10x+3) | | 100w+3=8 | | 30y^3+75y^2=0 | | 20=80 | | x^3+x^2-9x=-9 | | x+x^3=32 | | 2(8+p)=36 | | 25*3b=252 | | -a-5a-7b+a-5b-4= |

Equations solver categories