# Thread: Puzzles with some PDE

1. Hello, folk!!

I'm studying something on professor's notes...

Could anybody suggest me where I can find something on line to verify solutions of equations in (3.94) and (3.95) (look at http://img46.imageshack.us/my.php?im...ndito01gp2.jpg ) are functions in (3.96) for ni different from zero and (3.97) ( http://img80.imageshack.us/my.php?im...ndito02xy1.jpg ) for ni =0?

Moreover, why does text tell me ni must be an integer and p_0 =0 in order that solution is "with unique value"?

Thanks!

2.

3. They are ODE, not PDE. (3.94 is the equation of simple harmonic motion.)

To verify whether an equation is a solution of an ODE, you can just differentiate and substitute into the ODE. Thatâ€™s all there is to it. Solving a differential equation is one thing, but checking whether a given equation is a solution is another.

Anyway, this site is very handy for differential equations of all sorts: http://eqworld.ipmnet.ru/

4. I'm desolated for the PDE mistake (it is because equations in 3.94 and 3.95 have been obtained starting from a PDE..so I get confused)...

Could anybody help me about the question on ni integer and p_0 =0?

 Bookmarks
##### Bookmarks
 Posting Permissions
 You may not post new threads You may not post replies You may not post attachments You may not edit your posts   BB code is On Smilies are On [IMG] code is On [VIDEO] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are On Terms of Use Agreement