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## Homework Statement

Find the solution of

dy/dt = 1/ (e^y -t), y(1) = 0

## Homework Equations

## The Attempt at a Solution

i tried separating the equation, but the subtraction gets in the way

well this is what i have

y = t - 1 + C/e^t

i solved for t then i put that into the single order ODE formula

but the answer is y = arccosht

...so...

can someone give me a hint on how to start this?