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A second ODE problem that bothers me a lot HELP!

  1. May 10, 2009 #1
    A second ODE problem that bothers me a lot~~ HELP!

    The question is like:
    Find the function y1 of t which is the solution of:
    9y''-36y'-45y=0
    with initial conditions y1(0)=1, y'1(0)=0

    y1= ?


    Find the function y2 of t which is the solution of:
    9y''-36y'-45y=0
    with initial conditions y2(0)=0, y'2(0)=1

    y2= ?


    Find the Wronskian W(t)= W(y1.y2)

    W(t)=?

    The way I tried to achieve the problem is to solve the characteristic equation, which is
    9r2-36r-45=0, which gives r1=5 and r2=-1; then I consider y1 and y2 are exp(r1) and exp(r2) respectively. But it seems my answer is wrong.....
     
  2. jcsd
  3. May 10, 2009 #2
    Re: A second ODE problem that bothers me a lot~~ HELP!

    never mind, I got it.
     
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