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Thread: Puzzles with some PDE

  1. #1 Puzzles with some PDE 
    Forum Freshman
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    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!


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  3. #2  
    Forum Ph.D.
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    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. That’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/


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  4. #3  
    Forum Freshman
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    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?
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