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PDE Linear Equation

  1. May 14, 2013 #1
    My questions concerns the information in the document.
    I highlighted the portion that is confusing me and a sample problem at the bottom.

    Question:
    Look at the equation 2.2.4 in the document.
    When I set the function u equal to zero the equation becomes
    0 = 0 + 0 + f(x,t) or f(x,t) = 0.

    Now if you look in the document once more at the underlined green section is says that if f is equal to zero then the equation is homogeneous. However if you read the underlined orange section it says equation 2.2.4 is a nonhomogeneous equation......

    This seems a bit contradictory. Some one please help me understand what they are saying.
     

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  3. May 14, 2013 #2

    LCKurtz

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    You have shown that L(0) = f(x,t). Since that isn't zero, the equation is non-homogeneous. If that f(x,t) hadn't been in the equation, you would have gotten L(0)=0 and the equation would have been homogeneous.
     
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