X^3ydx+(3x^4-y^3)dy=0

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Solution for X^3ydx+(3x^4-y^3)dy=0 equation: 


Simplifying
X3ydx + (3x4 + -1y3) * dy = 0

Reorder the terms for easier multiplication:
dxyX3 + dy(3x4 + -1y3) = 0
dxyX3 + (3x4 * dy + -1y3 * dy) = 0
dxyX3 + (3dx4y + -1dy4) = 0

Solving
dxyX3 + 3dx4y + -1dy4 = 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(xX3 + 3x4 + -1y3) = 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 '(xX3 + 3x4 + -1y3)' equal to zero and attempt to solve:

Simplifying
xX3 + 3x4 + -1y3 = 0

Solving
xX3 + 3x4 + -1y3 = 0

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

Add '-1xX3' to each side of the equation.
xX3 + 3x4 + -1xX3 + -1y3 = 0 + -1xX3

Reorder the terms:
xX3 + -1xX3 + 3x4 + -1y3 = 0 + -1xX3

Combine like terms: xX3 + -1xX3 = 0
0 + 3x4 + -1y3 = 0 + -1xX3
3x4 + -1y3 = 0 + -1xX3
Remove the zero:
3x4 + -1y3 = -1xX3

Add '-3x4' to each side of the equation.
3x4 + -3x4 + -1y3 = -1xX3 + -3x4

Combine like terms: 3x4 + -3x4 = 0
0 + -1y3 = -1xX3 + -3x4
-1y3 = -1xX3 + -3x4

Add 'y3' to each side of the equation.
-1y3 + y3 = -1xX3 + -3x4 + y3

Combine like terms: -1y3 + y3 = 0
0 = -1xX3 + -3x4 + y3

Simplifying
0 = -1xX3 + -3x4 + y3

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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