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

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


Simplifying
(3x2y + 2) * dx + -1(x3 + y) * dy = 0

Reorder the terms:
(2 + 3x2y) * dx + -1(x3 + y) * dy = 0

Reorder the terms for easier multiplication:
dx(2 + 3x2y) + -1(x3 + y) * dy = 0
(2 * dx + 3x2y * dx) + -1(x3 + y) * dy = 0
(2dx + 3dx3y) + -1(x3 + y) * dy = 0

Reorder the terms for easier multiplication:
2dx + 3dx3y + -1dy(x3 + y) = 0
2dx + 3dx3y + (x3 * -1dy + y * -1dy) = 0
2dx + 3dx3y + (-1dx3y + -1dy2) = 0

Combine like terms: 3dx3y + -1dx3y = 2dx3y
2dx + 2dx3y + -1dy2 = 0

Solving
2dx + 2dx3y + -1dy2 = 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(2x + 2x3y + -1y2) = 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 '(2x + 2x3y + -1y2)' equal to zero and attempt to solve:

Simplifying
2x + 2x3y + -1y2 = 0

Solving
2x + 2x3y + -1y2 = 0

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

Add '-2x' to each side of the equation.
2x + 2x3y + -2x + -1y2 = 0 + -2x

Reorder the terms:
2x + -2x + 2x3y + -1y2 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + 2x3y + -1y2 = 0 + -2x
2x3y + -1y2 = 0 + -2x
Remove the zero:
2x3y + -1y2 = -2x

Add '-2x3y' to each side of the equation.
2x3y + -2x3y + -1y2 = -2x + -2x3y

Combine like terms: 2x3y + -2x3y = 0
0 + -1y2 = -2x + -2x3y
-1y2 = -2x + -2x3y

Add 'y2' to each side of the equation.
-1y2 + y2 = -2x + -2x3y + y2

Combine like terms: -1y2 + y2 = 0
0 = -2x + -2x3y + y2

Simplifying
0 = -2x + -2x3y + y2

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:

| 3t^2+22t-45=0 | | H(t)=-16t+80t+120 | | (2u-7)(3+u)=0 | | 6(6x-7)=50 | | .75*(x+4)=3(x+2) | | (7+9n)+(-3+8c)= | | 7+y=-7 | | 3+22-45=0 | | (8x-3)+(6x+6)= | | 68=h/11.2 | | 5y=24-3y | | 4(y-21)=y-8 | | -23+109= | | 2(7c+9v-12d)= | | (W-4)(w+1)=0 | | 3(6)-2y=-2 | | 5a+2a-6=4a-5 | | 0.1-0.05= | | 92=(7+x)(12+x) | | 3+35x=21x+15 | | 2(2)-y=7 | | (4x-5)+(6x+9)= | | 6x+8=-9 | | 149-v=206 | | b^2+9b-9=10b | | 3x+36=32 | | -5/3=3/5w-3/2 | | 3(4-n)=-n | | 3(4-2)=-n | | 5v^2-10v-2=0 | | (y^(1/3))/(y^(-3/2))(y^(1/2)) | | 5v^2-10v-2=o |

Equations solver categories