ydx+(x^3y^2+x^3)dx=0

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Solution for ydx+(x^3y^2+x^3)dx=0 equation: 


Simplifying
ydx + (x3y2 + x3) * dx = 0

Reorder the terms:
dxy + (x3 + x3y2) * dx = 0

Reorder the terms for easier multiplication:
dxy + dx(x3 + x3y2) = 0
dxy + (x3 * dx + x3y2 * dx) = 0
dxy + (dx4 + dx4y2) = 0

Solving
dxy + dx4 + dx4y2 = 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), 'dx'.
dx(y + x3 + x3y2) = 0


Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve:

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(y + x3 + x3y2)' equal to zero and attempt to solve:

Simplifying
y + x3 + x3y2 = 0

Reorder the terms:
x3 + x3y2 + y = 0

Solving
x3 + x3y2 + y = 0

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

Add '-1x3' to each side of the equation.
x3 + x3y2 + -1x3 + y = 0 + -1x3

Reorder the terms:
x3 + -1x3 + x3y2 + y = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
0 + x3y2 + y = 0 + -1x3
x3y2 + y = 0 + -1x3
Remove the zero:
x3y2 + y = -1x3

Add '-1x3y2' to each side of the equation.
x3y2 + -1x3y2 + y = -1x3 + -1x3y2

Combine like terms: x3y2 + -1x3y2 = 0
0 + y = -1x3 + -1x3y2
y = -1x3 + -1x3y2

Add '-1y' to each side of the equation.
y + -1y = -1x3 + -1x3y2 + -1y

Combine like terms: y + -1y = 0
0 = -1x3 + -1x3y2 + -1y

Simplifying
0 = -1x3 + -1x3y2 + -1y

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.

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