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

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Solution for (X^3-3xy^2+2)dx-(3x^2y-y^3)=0 equation: 


Simplifying
(X3 + -3xy2 + 2) * dx + -1(3x2y + -1y3) = 0

Reorder the terms:
(2 + X3 + -3xy2) * dx + -1(3x2y + -1y3) = 0

Reorder the terms for easier multiplication:
dx(2 + X3 + -3xy2) + -1(3x2y + -1y3) = 0
(2 * dx + X3 * dx + -3xy2 * dx) + -1(3x2y + -1y3) = 0
(2dx + dxX3 + -3dx2y2) + -1(3x2y + -1y3) = 0
2dx + dxX3 + -3dx2y2 + (3x2y * -1 + -1y3 * -1) = 0
2dx + dxX3 + -3dx2y2 + (-3x2y + 1y3) = 0

Solving
2dx + dxX3 + -3dx2y2 + -3x2y + 1y3 = 0

Solving for variable 'd'.

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

Add '3x2y' to each side of the equation.
2dx + dxX3 + -3dx2y2 + -3x2y + 3x2y + 1y3 = 0 + 3x2y

Combine like terms: -3x2y + 3x2y = 0
2dx + dxX3 + -3dx2y2 + 0 + 1y3 = 0 + 3x2y
2dx + dxX3 + -3dx2y2 + 1y3 = 0 + 3x2y
Remove the zero:
2dx + dxX3 + -3dx2y2 + 1y3 = 3x2y

Add '-1y3' to each side of the equation.
2dx + dxX3 + -3dx2y2 + 1y3 + -1y3 = 3x2y + -1y3

Combine like terms: 1y3 + -1y3 = 0
2dx + dxX3 + -3dx2y2 + 0 = 3x2y + -1y3
2dx + dxX3 + -3dx2y2 = 3x2y + -1y3

Reorder the terms:
2dx + dxX3 + -3dx2y2 + -3x2y + y3 = 3x2y + -3x2y + -1y3 + y3

Combine like terms: 3x2y + -3x2y = 0
2dx + dxX3 + -3dx2y2 + -3x2y + y3 = 0 + -1y3 + y3
2dx + dxX3 + -3dx2y2 + -3x2y + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
2dx + dxX3 + -3dx2y2 + -3x2y + y3 = 0

The solution to this equation could not be determined.

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