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

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Solution for 2x^2y(dx)-3x^3(dy)-y^3(dy)=0 equation: 


Simplifying
2x2y(dx) + -3x3(dy) + -1y3(dy) = 0

Multiply x2y * dx
2dx3y + -3x3(dy) + -1y3(dy) = 0

Multiply x3 * dy
2dx3y + -3dx3y + -1y3(dy) = 0

Multiply y3 * dy
2dx3y + -3dx3y + -1dy4 = 0

Combine like terms: 2dx3y + -3dx3y = -1dx3y
-1dx3y + -1dy4 = 0

Solving
-1dx3y + -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), '-1dy'.
-1dy(x3 + y3) = 0

Ignore the factor -1.

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 '(x3 + y3)' equal to zero and attempt to solve:

Simplifying
x3 + y3 = 0

Solving
x3 + y3 = 0

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

Add '-1x3' to each side of the equation.
x3 + -1x3 + y3 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
0 + y3 = 0 + -1x3
y3 = 0 + -1x3
Remove the zero:
y3 = -1x3

Add '-1y3' to each side of the equation.
y3 + -1y3 = -1x3 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -1x3 + -1y3

Simplifying
0 = -1x3 + -1y3

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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