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

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


Simplifying
(X3y2 + x) * dy + ydx = 0

Reorder the terms:
(x + y2X3) * dy + ydx = 0

Reorder the terms for easier multiplication:
dy(x + y2X3) + ydx = 0
(x * dy + y2X3 * dy) + ydx = 0
(dxy + dy3X3) + ydx = 0

Reorder the terms:
dxy + dxy + dy3X3 = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + dy3X3 = 0

Solving
2dxy + dy3X3 = 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), 'dy'.
dy(2x + y2X3) = 0


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 '(2x + y2X3)' equal to zero and attempt to solve:

Simplifying
2x + y2X3 = 0

Solving
2x + y2X3 = 0

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

Add '-2x' to each side of the equation.
2x + -2x + y2X3 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + y2X3 = 0 + -2x
y2X3 = 0 + -2x
Remove the zero:
y2X3 = -2x

Add '-1y2X3' to each side of the equation.
y2X3 + -1y2X3 = -2x + -1y2X3

Combine like terms: y2X3 + -1y2X3 = 0
0 = -2x + -1y2X3

Simplifying
0 = -2x + -1y2X3

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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