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

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


Simplifying
(y3 + -3y + -1x) * dx + (2y + -3) * dy = 0

Reorder the terms:
(-1x + -3y + y3) * dx + (2y + -3) * dy = 0

Reorder the terms for easier multiplication:
dx(-1x + -3y + y3) + (2y + -3) * dy = 0
(-1x * dx + -3y * dx + y3 * dx) + (2y + -3) * dy = 0

Reorder the terms:
(-3dxy + dxy3 + -1dx2) + (2y + -3) * dy = 0
(-3dxy + dxy3 + -1dx2) + (2y + -3) * dy = 0

Reorder the terms:
-3dxy + dxy3 + -1dx2 + (-3 + 2y) * dy = 0

Reorder the terms for easier multiplication:
-3dxy + dxy3 + -1dx2 + dy(-3 + 2y) = 0
-3dxy + dxy3 + -1dx2 + (-3 * dy + 2y * dy) = 0
-3dxy + dxy3 + -1dx2 + (-3dy + 2dy2) = 0

Solving
-3dxy + dxy3 + -1dx2 + -3dy + 2dy2 = 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(-3xy + xy3 + -1x2 + -3y + 2y2) = 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 '(-3xy + xy3 + -1x2 + -3y + 2y2)' equal to zero and attempt to solve:

Simplifying
-3xy + xy3 + -1x2 + -3y + 2y2 = 0

Solving
-3xy + xy3 + -1x2 + -3y + 2y2 = 0

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

Add '3xy' to each side of the equation.
-3xy + xy3 + -1x2 + -3y + 3xy + 2y2 = 0 + 3xy

Reorder the terms:
-3xy + 3xy + xy3 + -1x2 + -3y + 2y2 = 0 + 3xy

Combine like terms: -3xy + 3xy = 0
0 + xy3 + -1x2 + -3y + 2y2 = 0 + 3xy
xy3 + -1x2 + -3y + 2y2 = 0 + 3xy
Remove the zero:
xy3 + -1x2 + -3y + 2y2 = 3xy

Add '-1xy3' to each side of the equation.
xy3 + -1x2 + -3y + -1xy3 + 2y2 = 3xy + -1xy3

Reorder the terms:
xy3 + -1xy3 + -1x2 + -3y + 2y2 = 3xy + -1xy3

Combine like terms: xy3 + -1xy3 = 0
0 + -1x2 + -3y + 2y2 = 3xy + -1xy3
-1x2 + -3y + 2y2 = 3xy + -1xy3

Add 'x2' to each side of the equation.
-1x2 + -3y + x2 + 2y2 = 3xy + -1xy3 + x2

Reorder the terms:
-1x2 + x2 + -3y + 2y2 = 3xy + -1xy3 + x2

Combine like terms: -1x2 + x2 = 0
0 + -3y + 2y2 = 3xy + -1xy3 + x2
-3y + 2y2 = 3xy + -1xy3 + x2

Add '3y' to each side of the equation.
-3y + 3y + 2y2 = 3xy + -1xy3 + x2 + 3y

Combine like terms: -3y + 3y = 0
0 + 2y2 = 3xy + -1xy3 + x2 + 3y
2y2 = 3xy + -1xy3 + x2 + 3y

Add '-2y2' to each side of the equation.
2y2 + -2y2 = 3xy + -1xy3 + x2 + 3y + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = 3xy + -1xy3 + x2 + 3y + -2y2

Simplifying
0 = 3xy + -1xy3 + x2 + 3y + -2y2

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:

| 2X-5+85+30=180 | | 6y-5=3(2y-1) | | 3(2x+-7)=5x+17+x | | (6x+40)=360 | | x(-6x+26)=1 | | 2=2b-3b | | 6(6x+6)=7x+36 | | 3u/2u-10 | | 2r=-9 | | 3x+3.50y=26.00 | | 15=21-2c | | f(x)=4*2x | | -10t-4=-11t | | (6x+40)=180 | | (7b+4)(3b-4)=0 | | d/8=9 | | 16k-12k=16 | | 2x+3(2-2)=10 | | 2x=5*265 | | 2/8=9 | | 3-2-(4)-3= | | 80+6a=2(10a-9) | | D=65t+3 | | 7.2-5c=2 | | 8j+4=100 | | 322+7+5+x=360 | | 6x+2(8x+7)=-8 | | X+20+90+50=180 | | -4x-29/36=8/9 | | 10=12-2k | | 29=2-3x | | (8x+10)=180 |

Equations solver categories