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

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


Simplifying
(X3 + xy2 + y) * dx + (y3 + x2y + x) * dy = 0

Reorder the terms for easier multiplication:
dx(X3 + xy2 + y) + (y3 + x2y + x) * dy = 0
(X3 * dx + xy2 * dx + y * dx) + (y3 + x2y + x) * dy = 0

Reorder the terms:
(dxX3 + dxy + dx2y2) + (y3 + x2y + x) * dy = 0
(dxX3 + dxy + dx2y2) + (y3 + x2y + x) * dy = 0

Reorder the terms:
dxX3 + dxy + dx2y2 + (x + x2y + y3) * dy = 0

Reorder the terms for easier multiplication:
dxX3 + dxy + dx2y2 + dy(x + x2y + y3) = 0
dxX3 + dxy + dx2y2 + (x * dy + x2y * dy + y3 * dy) = 0
dxX3 + dxy + dx2y2 + (dxy + dx2y2 + dy4) = 0

Reorder the terms:
dxX3 + dxy + dxy + dx2y2 + dx2y2 + dy4 = 0

Combine like terms: dxy + dxy = 2dxy
dxX3 + 2dxy + dx2y2 + dx2y2 + dy4 = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
dxX3 + 2dxy + 2dx2y2 + dy4 = 0

Solving
dxX3 + 2dxy + 2dx2y2 + dy4 = 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(xX3 + 2xy + 2x2y2 + y4) = 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 '(xX3 + 2xy + 2x2y2 + y4)' equal to zero and attempt to solve:

Simplifying
xX3 + 2xy + 2x2y2 + y4 = 0

Solving
xX3 + 2xy + 2x2y2 + y4 = 0

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

Add '-1xX3' to each side of the equation.
xX3 + 2xy + 2x2y2 + -1xX3 + y4 = 0 + -1xX3

Reorder the terms:
xX3 + -1xX3 + 2xy + 2x2y2 + y4 = 0 + -1xX3

Combine like terms: xX3 + -1xX3 = 0
0 + 2xy + 2x2y2 + y4 = 0 + -1xX3
2xy + 2x2y2 + y4 = 0 + -1xX3
Remove the zero:
2xy + 2x2y2 + y4 = -1xX3

Add '-2xy' to each side of the equation.
2xy + 2x2y2 + -2xy + y4 = -1xX3 + -2xy

Reorder the terms:
2xy + -2xy + 2x2y2 + y4 = -1xX3 + -2xy

Combine like terms: 2xy + -2xy = 0
0 + 2x2y2 + y4 = -1xX3 + -2xy
2x2y2 + y4 = -1xX3 + -2xy

Add '-2x2y2' to each side of the equation.
2x2y2 + -2x2y2 + y4 = -1xX3 + -2xy + -2x2y2

Combine like terms: 2x2y2 + -2x2y2 = 0
0 + y4 = -1xX3 + -2xy + -2x2y2
y4 = -1xX3 + -2xy + -2x2y2

Add '-1y4' to each side of the equation.
y4 + -1y4 = -1xX3 + -2xy + -2x2y2 + -1y4

Combine like terms: y4 + -1y4 = 0
0 = -1xX3 + -2xy + -2x2y2 + -1y4

Simplifying
0 = -1xX3 + -2xy + -2x2y2 + -1y4

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:

| -7.52+x+-0.13x=210 | | (x-6)(x+3)=x(x-2)-(2x-3) | | -7.52+x+-0.13x=215 | | 25x+30=225 | | (2x+184)+176=360 | | 33=(-24x) | | 2/w=8/3w-4 | | 25g^2/70=30 | | x+-0.13x=0.87x | | 5*(x-2)=2x | | 70x+50y=380 | | 7w^2=63 | | -7.52+x+-0.13x=225 | | (44x+11)+85=360 | | 3*(x-4)=x | | 3t-6t+6t= | | 10v-2v+8v= | | 2p+-8p= | | 0.2x-5=12+0.3x | | 2x+3x-90=0 | | 9f+-10f-f= | | 3=(2x+5)+x | | v/4=88 | | 8y+-y= | | 59n=0 | | 7(1+5n)+(1+4n)= | | 24=x-10 | | Log[x-1]81=2 | | 68/80= | | 5y+37=24 | | (-4(x^2+x)-7x)-(5x-10x^2-9)= | | V=ZMSFORz |

Equations solver categories