# Does this equation have an explicit solution? [closed]

For a positive constant $C$: \begin{align} y(x)+C\ln y(x)=f(x). \end{align}

At least from specific $f(x)$, such as piece-wise linear function, is there an explicit solution for $y(x)$?

## closed as off-topic by Neil Strickland, Gerald Edgar, abx, RP_, coudyApr 11 '17 at 19:28

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "MathOverflow is for mathematicians to ask each other questions about their research. See Math.StackExchange to ask general questions in mathematics." – Neil Strickland, Gerald Edgar, abx, RP_, coudy
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The solution can be expressed in terms of the Lambert W-function: according to Maple, $y(x) = e^{-W(e^{f(x)})+f(x)}$.