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Thread: Verify solution of a differential equation

  1. January 20th 2009, 03:49 PM #1
    cowboys111
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    Verify solution of a differential equation

    Verify that the indicated function is an explicit solution to the differential equation:
    2y'+y= 0; y=e^(-x/2)

    I dont know where to start, can some one please help me? Thank you.
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  2. January 20th 2009, 03:54 PM #2
    Danny
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    Quote Originally Posted by cowboys111 View Post
    Verify that the indicated function is an explicit solution to the differential equation:
    2y'+y= 0; y=e^(-x/2)

    I dont know where to start, can some one please help me? Thank you.
    Yes, find the derivative of y ' = \frac{d}{dx} \left( e^{-x/2} \right) = - \frac{1}{2} e^{-x/2} and substitute int the LHS and show it's = 0.
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