(Y-x)dx+(Y+x)=0

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Solution for (Y-x)dx+(Y+x)=0 equation:


Simplifying
(Y + -1x) * dx + (Y + x) = 0

Reorder the terms for easier multiplication:
dx(Y + -1x) + (Y + x) = 0
(Y * dx + -1x * dx) + (Y + x) = 0
(dxY + -1dx2) + (Y + x) = 0

Remove parenthesis around (Y + x)
dxY + -1dx2 + Y + x = 0

Reorder the terms:
Y + dxY + -1dx2 + x = 0

Solving
Y + dxY + -1dx2 + x = 0

Solving for variable 'Y'.

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

Add 'dx2' to each side of the equation.
Y + dxY + -1dx2 + dx2 + x = 0 + dx2

Combine like terms: -1dx2 + dx2 = 0
Y + dxY + 0 + x = 0 + dx2
Y + dxY + x = 0 + dx2
Remove the zero:
Y + dxY + x = dx2

Add '-1x' to each side of the equation.
Y + dxY + x + -1x = dx2 + -1x

Combine like terms: x + -1x = 0
Y + dxY + 0 = dx2 + -1x
Y + dxY = dx2 + -1x

Reorder the terms:
Y + dxY + -1dx2 + x = dx2 + -1dx2 + -1x + x

Combine like terms: dx2 + -1dx2 = 0
Y + dxY + -1dx2 + x = 0 + -1x + x
Y + dxY + -1dx2 + x = -1x + x

Combine like terms: -1x + x = 0
Y + dxY + -1dx2 + x = 0

The solution to this equation could not be determined.

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