x^2y+2xdy=2x^3-xy^2-2y+3dx

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Solution for x^2y+2xdy=2x^3-xy^2-2y+3dx equation: 


Simplifying
x2y + 2xdy = 2x3 + -1xy2 + -2y + 3dx

Reorder the terms:
2dxy + x2y = 2x3 + -1xy2 + -2y + 3dx

Reorder the terms:
2dxy + x2y = 3dx + -1xy2 + 2x3 + -2y

Solving
2dxy + x2y = 3dx + -1xy2 + 2x3 + -2y

Solving for variable 'd'.

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

Add '-3dx' to each side of the equation.
2dxy + -3dx + x2y = 3dx + -1xy2 + 2x3 + -3dx + -2y

Reorder the terms:
-3dx + 2dxy + x2y = 3dx + -1xy2 + 2x3 + -3dx + -2y

Reorder the terms:
-3dx + 2dxy + x2y = 3dx + -3dx + -1xy2 + 2x3 + -2y

Combine like terms: 3dx + -3dx = 0
-3dx + 2dxy + x2y = 0 + -1xy2 + 2x3 + -2y
-3dx + 2dxy + x2y = -1xy2 + 2x3 + -2y

Add '-1x2y' to each side of the equation.
-3dx + 2dxy + x2y + -1x2y = -1xy2 + 2x3 + -1x2y + -2y

Combine like terms: x2y + -1x2y = 0
-3dx + 2dxy + 0 = -1xy2 + 2x3 + -1x2y + -2y
-3dx + 2dxy = -1xy2 + 2x3 + -1x2y + -2y

Reorder the terms:
-3dx + 2dxy = -1xy2 + -1x2y + 2x3 + -2y

Reorder the terms:
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = -1xy2 + xy2 + -1x2y + x2y + 2x3 + -2x3 + -2y + 2y

Combine like terms: -1xy2 + xy2 = 0
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = 0 + -1x2y + x2y + 2x3 + -2x3 + -2y + 2y
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = -1x2y + x2y + 2x3 + -2x3 + -2y + 2y

Combine like terms: -1x2y + x2y = 0
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = 0 + 2x3 + -2x3 + -2y + 2y
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = 2x3 + -2x3 + -2y + 2y

Combine like terms: 2x3 + -2x3 = 0
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = 0 + -2y + 2y
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-3dx + 2dxy + xy2 + x2y + -2x3 + 2y = 0

The solution to this equation could not be determined.

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