(2x-sx^3)DX+(x^2-2y)dy=0

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Solution for (2x-sx^3)DX+(x^2-2y)dy=0 equation: 


Simplifying
(2x + -1sx3) * DX + (x2 + -2y) * dy = 0

Reorder the terms:
(-1sx3 + 2x) * DX + (x2 + -2y) * dy = 0

Reorder the terms for easier multiplication:
DX(-1sx3 + 2x) + (x2 + -2y) * dy = 0
(-1sx3 * DX + 2x * DX) + (x2 + -2y) * dy = 0
(-1sx3DX + 2xDX) + (x2 + -2y) * dy = 0

Reorder the terms for easier multiplication:
-1sx3DX + 2xDX + dy(x2 + -2y) = 0
-1sx3DX + 2xDX + (x2 * dy + -2y * dy) = 0
-1sx3DX + 2xDX + (dx2y + -2dy2) = 0

Reorder the terms:
dx2y + -2dy2 + -1sx3DX + 2xDX = 0

Solving
dx2y + -2dy2 + -1sx3DX + 2xDX = 0

Solving for variable 'd'.

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

Add 'sx3DX' to each side of the equation.
dx2y + -2dy2 + -1sx3DX + sx3DX + 2xDX = 0 + sx3DX

Combine like terms: -1sx3DX + sx3DX = 0
dx2y + -2dy2 + 0 + 2xDX = 0 + sx3DX
dx2y + -2dy2 + 2xDX = 0 + sx3DX
Remove the zero:
dx2y + -2dy2 + 2xDX = sx3DX

Add '-2xDX' to each side of the equation.
dx2y + -2dy2 + 2xDX + -2xDX = sx3DX + -2xDX

Combine like terms: 2xDX + -2xDX = 0
dx2y + -2dy2 + 0 = sx3DX + -2xDX
dx2y + -2dy2 = sx3DX + -2xDX

Reorder the terms:
dx2y + -2dy2 + -1sx3DX + 2xDX = sx3DX + -1sx3DX + -2xDX + 2xDX

Combine like terms: sx3DX + -1sx3DX = 0
dx2y + -2dy2 + -1sx3DX + 2xDX = 0 + -2xDX + 2xDX
dx2y + -2dy2 + -1sx3DX + 2xDX = -2xDX + 2xDX

Combine like terms: -2xDX + 2xDX = 0
dx2y + -2dy2 + -1sx3DX + 2xDX = 0

The solution to this equation could not be determined.

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