3y(x^2-1)dx+(x^3+8y-3x)dy=0

Simple and best practice solution for 3y(x^2-1)dx+(x^3+8y-3x)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 3y(x^2-1)dx+(x^3+8y-3x)dy=0 equation:


Simplifying
3y(x2 + -1) * dx + (x3 + 8y + -3x) * dy = 0

Reorder the terms:
3y(-1 + x2) * dx + (x3 + 8y + -3x) * dy = 0

Reorder the terms for easier multiplication:
3y * dx(-1 + x2) + (x3 + 8y + -3x) * dy = 0

Multiply y * dx
3dxy(-1 + x2) + (x3 + 8y + -3x) * dy = 0
(-1 * 3dxy + x2 * 3dxy) + (x3 + 8y + -3x) * dy = 0
(-3dxy + 3dx3y) + (x3 + 8y + -3x) * dy = 0

Reorder the terms:
-3dxy + 3dx3y + (-3x + x3 + 8y) * dy = 0

Reorder the terms for easier multiplication:
-3dxy + 3dx3y + dy(-3x + x3 + 8y) = 0
-3dxy + 3dx3y + (-3x * dy + x3 * dy + 8y * dy) = 0
-3dxy + 3dx3y + (-3dxy + dx3y + 8dy2) = 0

Reorder the terms:
-3dxy + -3dxy + 3dx3y + dx3y + 8dy2 = 0

Combine like terms: -3dxy + -3dxy = -6dxy
-6dxy + 3dx3y + dx3y + 8dy2 = 0

Combine like terms: 3dx3y + dx3y = 4dx3y
-6dxy + 4dx3y + 8dy2 = 0

Solving
-6dxy + 4dx3y + 8dy2 = 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), '2dy'.
2dy(-3x + 2x3 + 4y) = 0

Ignore the factor 2.

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 '(-3x + 2x3 + 4y)' equal to zero and attempt to solve: Simplifying -3x + 2x3 + 4y = 0 Solving -3x + 2x3 + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 2x3 + 3x + 4y = 0 + 3x Reorder the terms: -3x + 3x + 2x3 + 4y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 2x3 + 4y = 0 + 3x 2x3 + 4y = 0 + 3x Remove the zero: 2x3 + 4y = 3x Add '-2x3' to each side of the equation. 2x3 + -2x3 + 4y = 3x + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + 4y = 3x + -2x3 4y = 3x + -2x3 Add '-4y' to each side of the equation. 4y + -4y = 3x + -2x3 + -4y Combine like terms: 4y + -4y = 0 0 = 3x + -2x3 + -4y Simplifying 0 = 3x + -2x3 + -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:

| X-88=56-8x | | (3k+1)(k-2)= | | x*20-89+53=204 | | X-88=56-8 | | 2x^3-5x^2+16x+42= | | x*12-130=356 | | 48x=4500 | | a+b+c+d+80+70=100 | | 3y+4x=2y+3x | | 48x=3650 | | 416/4-x=59 | | 0.075x+x=57000 | | log(x^2)=10 | | 48x=3950 | | 48x=4650 | | x^4+3432+32-53=3 | | F(x)=26-2x | | 13x+12y+2=0 | | 5x^2=5x+6 | | h+8g= | | 4x+3y=.9 | | 48x=3900 | | 2X+8+3X=10-4X+32+6X | | 48x=4000 | | 48x=3800 | | 48x=2400 | | -3y(6y+5)= | | y=1/3x-10 | | 48x=3400 | | -4x-3(-6+7)=-91 | | 5-4(2x+6)=5(2x-x)-3x | | -3x-4(-5x+7)=91 |

Equations solver categories