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Homework Help: Continuous ODE

  1. Jun 22, 2011 #1
    I am having trouble with part of this question:

    y'+2y= g(t) where g(t) =1 for 0<t<1 and g(t)= 0 t>1 and y(0)=0

    I found y= 1/2 - (1/2 * e^-2t) for 0<t<1 but am having trouble with g(t)= 0.

    I know y = Ce^-2t. y(0)=0 doesnt apply here since t>1 correct? Can you point me in the right direction?
     
  2. jcsd
  3. Jun 22, 2011 #2

    Office_Shredder

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    What properties do you think the graph of y(t) should have at t=1?
     
  4. Jun 23, 2011 #3
    should be undefined correct?
     
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