Hello,

What is the basis for e, the natural log, as a general solution in D.E. ?

For example:

x' (t) + 2x (t) =6

x(t) = Ce^-2x +3

I understand d/dx (e^x) =e^x

In general solutions what is the concept and analysis of the natural log

application ?

- Feb 4th 2009, 09:18 PMmorrobaygeneral solution to linear first order differential equations
Hello,

What is the basis for e, the natural log, as a general solution in D.E. ?

For example:

x' (t) + 2x (t) =6

x(t) = Ce^-2x +3

I understand d/dx (e^x) =e^x

In general solutions what is the concept and analysis of the natural log

application ? - Feb 4th 2009, 09:23 PMThePerfectHacker
- Feb 4th 2009, 09:43 PMmorrobay
Thanks,

Actually my question is on why (e) the natural log is used in solving D.E

That is, what is the basis or analysis of why (e) is used in the general solutions ? - Feb 4th 2009, 09:58 PMThePerfectHacker