autonomous equation

I have the following equation:



My question is how I should treat N(t). The question is also looking for the equilibrium points. Here's what I did when I treated N(t) as a variable:





Am I on the right track?

Hi
Yes it's the rigth track !

PS : sorry for my english I'm french ^^

Solution : N(t)=18+Cexp{-t/3} where C lives in R

Or N(0)=2 so 2=18+Cexp(-t/3) and you find C

The question also asks to solve the equation. How do I go about doing that?

Quote:

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Originally Posted by jschlarb

The question also asks to solve the equation. How do I go about doing that?

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It's a linear first order equation. You can always solve these by using an integrating factor.

-Dan