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

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


Simplifying
(3x2 + y2) * dx + (3x3 + -1y2 + 4xy) * dy = 0

Reorder the terms for easier multiplication:
dx(3x2 + y2) + (3x3 + -1y2 + 4xy) * dy = 0
(3x2 * dx + y2 * dx) + (3x3 + -1y2 + 4xy) * dy = 0

Reorder the terms:
(dxy2 + 3dx3) + (3x3 + -1y2 + 4xy) * dy = 0
(dxy2 + 3dx3) + (3x3 + -1y2 + 4xy) * dy = 0

Reorder the terms:
dxy2 + 3dx3 + (4xy + 3x3 + -1y2) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + 3dx3 + dy(4xy + 3x3 + -1y2) = 0
dxy2 + 3dx3 + (4xy * dy + 3x3 * dy + -1y2 * dy) = 0
dxy2 + 3dx3 + (4dxy2 + 3dx3y + -1dy3) = 0

Reorder the terms:
dxy2 + 4dxy2 + 3dx3 + 3dx3y + -1dy3 = 0

Combine like terms: dxy2 + 4dxy2 = 5dxy2
5dxy2 + 3dx3 + 3dx3y + -1dy3 = 0

Solving
5dxy2 + 3dx3 + 3dx3y + -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), 'd'.
d(5xy2 + 3x3 + 3x3y + -1y3) = 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 '(5xy2 + 3x3 + 3x3y + -1y3)' equal to zero and attempt to solve:

Simplifying
5xy2 + 3x3 + 3x3y + -1y3 = 0

Solving
5xy2 + 3x3 + 3x3y + -1y3 = 0

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

Add '-5xy2' to each side of the equation.
5xy2 + 3x3 + 3x3y + -5xy2 + -1y3 = 0 + -5xy2

Reorder the terms:
5xy2 + -5xy2 + 3x3 + 3x3y + -1y3 = 0 + -5xy2

Combine like terms: 5xy2 + -5xy2 = 0
0 + 3x3 + 3x3y + -1y3 = 0 + -5xy2
3x3 + 3x3y + -1y3 = 0 + -5xy2
Remove the zero:
3x3 + 3x3y + -1y3 = -5xy2

Add '-3x3' to each side of the equation.
3x3 + 3x3y + -3x3 + -1y3 = -5xy2 + -3x3

Reorder the terms:
3x3 + -3x3 + 3x3y + -1y3 = -5xy2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 + 3x3y + -1y3 = -5xy2 + -3x3
3x3y + -1y3 = -5xy2 + -3x3

Add '-3x3y' to each side of the equation.
3x3y + -3x3y + -1y3 = -5xy2 + -3x3 + -3x3y

Combine like terms: 3x3y + -3x3y = 0
0 + -1y3 = -5xy2 + -3x3 + -3x3y
-1y3 = -5xy2 + -3x3 + -3x3y

Add 'y3' to each side of the equation.
-1y3 + y3 = -5xy2 + -3x3 + -3x3y + y3

Combine like terms: -1y3 + y3 = 0
0 = -5xy2 + -3x3 + -3x3y + y3

Simplifying
0 = -5xy2 + -3x3 + -3x3y + y3

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:

| 2*108+x=13 | | 20qt=gal | | -6=3(2x-4) | | (3x+5)(5x^2-26x+5)=0 | | 0.5(x-5)+1=2(x-10)-3 | | 4x+8y=30.60 | | 3y=x+-12 | | 2c-31=c+43 | | 20qt= | | 2c-31=c+43 | | 26+8x= | | 12p(p=1/3) | | 2(24-6)+24=36 | | (3x^2+y^2)dx+((3x^3)-y^2+4xy)dy=0 | | 0.06s+450= | | (4m-1)/7=(m+2)/2 | | Y=6x+-1 | | -6x-41=-10x+31 | | 15(b+2)=2b-9 | | -2(-1/2)= | | u-14+u+6=u+38 | | -5(T-4)+8t=9t-7 | | -4n-6=-7n+2n | | -2(2)= | | -5m+17=4(m+11) | | -8-6x=16+8x-6x | | -3(x+1)+2(1-x)=7x+8 | | 2(r^2+1)=5x | | 2p-24=p+37 | | (5x-7)+(6x+10)= | | -3r-3+6r+13=1+6r | | 4=40+9x |

Equations solver categories