1. ## Integration - Correct?

Hi!

I have been given an equation:
$\frac{dy}{dt}=\lambda y$

Which by integration I find to be:

$\int \frac{dy}{dt}dt = \int \lambda y dt \rightarrow lny+c = \int \lambda dt = \lambda t+C2$

Is this correct?

2. Originally Posted by jokke22
Hi!

I have been given an equation:
$\frac{dy}{dt}=\lambda y$

Which by integration I find to be:

$\int \frac{dy}{dt}dt = \int \lambda y dt \rightarrow lny+c = \int \lambda dt = \lambda t+C2$

Is this correct?
Yes but you can combine the two constants. Usually we write the solution as $y = ce^{\lambda t}$ .

3. Aha! I didn't know they were the same at the point! Thanks danny!