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Math Help - Second order homogeneous equation

  1. #1
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    Second order homogeneous equation

    I need help here guys. I did it but got the value of B wrong and it seem i cann't get it right.
    Given that the general solution of the differential equation

    y **- 30 y *+ 225 y = 0 ,


    is
    y =A x exp(15)x + B exp(15x).


    By finding the values of A and B obtain the solution of the initial value problem
    y **- 15 y *+ 225 y = 0, y(0) = 9 , y *(0) = 5.

    ** means second derivative, and * mean first derivative...I couldn't use the keyboard for the appropriates notations.


    A = , B = .
    Last edited by McCoy; September 30th 2008 at 02:04 AM.
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  2. #2
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    Quote Originally Posted by McCoy View Post
    I need help here guys. I did it but got the value of B wrong and it seem i cann't get it right.
    Given that the general solution of the differential equation

    y **- 30 y *+ 225 y = 0 ,


    is
    y =A x exp(15)x + B exp(15x).


    By finding the values of A and B obtain the solution of the initial value problem
    y **- 15 y *+ 225 y = 0, y(0) = 9 , y *(0) = 5.

    ** means second derivative, and * mean first derivative...I couldn't use the keyboard for the appropriates notations.


    A = , B = .
    Show the working you did. Any errors can then be pointed out.
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