Solve Differential Equation

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February 4th 2008, 01:46 PM
bobak

Solve Differential Equation

Find a solution to the following equation.

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

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.
February 4th 2008, 10:51 PM
mr fantastic

Quote:

Originally Posted by bobak

Find a solution to the following equation.

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

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.

If you only want a solution, an obvious one is y = k for suitable value of k .... And yes, I did guess (but it was a shrewd guess ..... ;)
February 4th 2008, 11:47 PM
bobak

So y=ln6 is the best solution so far. by the was does this even qualify as a second order differential equation?
February 5th 2008, 12:27 AM
mr fantastic

Quote:

Originally Posted by bobak

So y=ln6 is the best solution so far. by the was does this even qualify as a second order differential equation?

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?
February 5th 2008, 12:31 AM
bobak

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.
February 5th 2008, 06:16 PM
bnic3029

The answer

I believe the answer to the problem in ln(2.66)
February 5th 2008, 06:22 PM
Jhevon

Quote:

Originally Posted by bnic3029

I believe the answer to the problem in ln(2.66)

if that's true, you'd end up with 4.66 = 8, which i doubt is correct

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