y-ln(y+1)=x^2+c

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Solution for y-ln(y+1)=x^2+c equation:


Simplifying
y + -1ln(y + 1) = x2 + c

Reorder the terms:
y + -1ln(1 + y) = x2 + c
y + (1 * -1ln + y * -1ln) = x2 + c
y + (-1ln + -1lny) = x2 + c

Reorder the terms:
-1ln + -1lny + y = x2 + c

Reorder the terms:
-1ln + -1lny + y = c + x2

Solving
-1ln + -1lny + y = c + x2

Solving for variable 'l'.

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

Add '-1y' to each side of the equation.
-1ln + -1lny + y + -1y = c + x2 + -1y

Combine like terms: y + -1y = 0
-1ln + -1lny + 0 = c + x2 + -1y
-1ln + -1lny = c + x2 + -1y

Reorder the terms:
-1c + -1ln + -1lny + -1x2 + y = c + x2 + -1y + -1c + -1x2 + y

Reorder the terms:
-1c + -1ln + -1lny + -1x2 + y = c + -1c + x2 + -1x2 + -1y + y

Combine like terms: c + -1c = 0
-1c + -1ln + -1lny + -1x2 + y = 0 + x2 + -1x2 + -1y + y
-1c + -1ln + -1lny + -1x2 + y = x2 + -1x2 + -1y + y

Combine like terms: x2 + -1x2 = 0
-1c + -1ln + -1lny + -1x2 + y = 0 + -1y + y
-1c + -1ln + -1lny + -1x2 + y = -1y + y

Combine like terms: -1y + y = 0
-1c + -1ln + -1lny + -1x2 + y = 0

The solution to this equation could not be determined.

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