Find a solution to the following equation.

$\displaystyle e^{\frac{d^2y}{dx^2}} + e^{\frac{dy}{dx}} + e^{y} = 8$

My thoughts: This question is a joke right? short of guessing i can't think of a way to solve this.

All comments are welcome.

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- Feb 4th 2008, 01:46 PMbobakSolve Differential Equation
Find a solution to the following equation.

$\displaystyle e^{\frac{d^2y}{dx^2}} + e^{\frac{dy}{dx}} + e^{y} = 8$

My thoughts: This question is a joke right? short of guessing i can't think of a way to solve this.

All comments are welcome. - Feb 4th 2008, 10:51 PMmr fantastic
- Feb 4th 2008, 11:47 PMbobak
So y=ln6 is the best solution so far. by the was does this even qualify as a second order differential equation?

- Feb 5th 2008, 12:27 AMmr fantastic
There's probably a special name. It's not Clairaut's equation, but if you look into it, you'll see it's not so unusual to have equations of this form .....

Where'd the question come from, anyway? - Feb 5th 2008, 12:31 AMbobak
My math tutor put in on a problem sheet for me, he claims he has a solution to it, I'll ask him what it is later if its is anything other than ln6 I'll post it.

- Feb 5th 2008, 06:16 PMbnic3029The answer
I believe the answer to the problem in ln(2.66)

- Feb 5th 2008, 06:22 PMJhevon