(x+y^3)dx+(3y^5-3x^2y)dy=0

Simple and best practice solution for (x+y^3)dx+(3y^5-3x^2y)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 (x+y^3)dx+(3y^5-3x^2y)dy=0 equation: 


Simplifying
(x + y3) * dx + (3y5 + -3x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(x + y3) + (3y5 + -3x2y) * dy = 0
(x * dx + y3 * dx) + (3y5 + -3x2y) * dy = 0

Reorder the terms:
(dxy3 + dx2) + (3y5 + -3x2y) * dy = 0
(dxy3 + dx2) + (3y5 + -3x2y) * dy = 0

Reorder the terms:
dxy3 + dx2 + (-3x2y + 3y5) * dy = 0

Reorder the terms for easier multiplication:
dxy3 + dx2 + dy(-3x2y + 3y5) = 0
dxy3 + dx2 + (-3x2y * dy + 3y5 * dy) = 0
dxy3 + dx2 + (-3dx2y2 + 3dy6) = 0

Solving
dxy3 + dx2 + -3dx2y2 + 3dy6 = 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(xy3 + x2 + -3x2y2 + 3y6) = 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 '(xy3 + x2 + -3x2y2 + 3y6)' equal to zero and attempt to solve:

Simplifying
xy3 + x2 + -3x2y2 + 3y6 = 0

Solving
xy3 + x2 + -3x2y2 + 3y6 = 0

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

Add '-1xy3' to each side of the equation.
xy3 + x2 + -3x2y2 + -1xy3 + 3y6 = 0 + -1xy3

Reorder the terms:
xy3 + -1xy3 + x2 + -3x2y2 + 3y6 = 0 + -1xy3

Combine like terms: xy3 + -1xy3 = 0
0 + x2 + -3x2y2 + 3y6 = 0 + -1xy3
x2 + -3x2y2 + 3y6 = 0 + -1xy3
Remove the zero:
x2 + -3x2y2 + 3y6 = -1xy3

Add '-1x2' to each side of the equation.
x2 + -3x2y2 + -1x2 + 3y6 = -1xy3 + -1x2

Reorder the terms:
x2 + -1x2 + -3x2y2 + 3y6 = -1xy3 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -3x2y2 + 3y6 = -1xy3 + -1x2
-3x2y2 + 3y6 = -1xy3 + -1x2

Add '3x2y2' to each side of the equation.
-3x2y2 + 3x2y2 + 3y6 = -1xy3 + -1x2 + 3x2y2

Combine like terms: -3x2y2 + 3x2y2 = 0
0 + 3y6 = -1xy3 + -1x2 + 3x2y2
3y6 = -1xy3 + -1x2 + 3x2y2

Add '-3y6' to each side of the equation.
3y6 + -3y6 = -1xy3 + -1x2 + 3x2y2 + -3y6

Combine like terms: 3y6 + -3y6 = 0
0 = -1xy3 + -1x2 + 3x2y2 + -3y6

Simplifying
0 = -1xy3 + -1x2 + 3x2y2 + -3y6

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:

| 6x-1=xsquared | | -13n+18=-12n-13 | | (cosx)(cotx)=sinx | | 6(-3.75)+14=-2(8+(-3.75)) | | f(x)=100(0.9) | | 1-m/3=12 | | 2(3y+2)+y=3y+4 | | -3a(a+b-5)+4(-2a+2b)+b(a+3b-7)=0 | | 6(3.75)+14=-2(8+(3.75)) | | -158+11x=112+x | | b-0.4=b+3.1 | | 1-(2)+x=1 | | 4-3x=40 | | (5x^2+2x+5)+(3x^2+7x-4)= | | 1(568)-b+2(b-9)=100 | | 2x+4=-64 | | 7x-5=8x+5 | | 15x^4+3x^3-12x^2= | | 12x^2-14x+14=0 | | 5x-7x+1=0 | | 3m-17=16 | | (7x-3y+2)dx+(5y-3x+5)dy=0 | | 4w-16=-20 | | 5ln(x+4)-6lnx= | | -3x=5-(-4) | | 39+1n=40 | | a=(k^3+3k^2-k)(k^3+3k^2+k) | | 7x^2+49x-245=0 | | 9+x=41 | | 6=9x-x | | -2b^2-8b-14=-6 | | log(2+3)-log(2-5)= |

Equations solver categories