differential equation

Printable View

February 19th 2006, 04:45 AM
emterics90

differential equation

$m_{t+h}-m_{t}=hm_t$ ,

so $\frac{dm_t}{dt}=m_t$

I am told that you use differential equations to the get the differentiation above, but I don't see how. Can anybody see?
February 19th 2006, 06:48 AM
CaptainBlack

Quote:

Originally Posted by emterics90

$m_{t+h}-m_{t}=hm_t$ ,

so $\frac{dm_t}{dt}=m_t$

I am told that you use differential equations to the get the differentiation above, but I don't see how. Can anybody see?

I will rewrite this as

$<br /> m(t+h)-m(t)=hm(t)<br />$ ,

so:

$\frac{dm}{dt}=m(t)$

So you are looking for a function which is its own derivative, so
something like:

$m(t)=Ae^t$

should do.

RonL

All times are GMT -8. The time now is 07:53 PM.

Copyright © 2005-2013 Math Help Forum. All rights reserved.

Copyright © 2005-2013 Math Help Forum. All rights reserved.