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Math Help - Initial value problem

  1. #1
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    Initial value problem

    Solve numerically using Euler's method the following Initial value problem
    y' = 2t - e^{-2t} + 4
    y(0) = 1

    Use an integration step equal to 0.05s, obtaining the numerical solution for five consecutive steps. Determine the analytic solution
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  2. #2
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    I used the formula:
    y_{j+1} = y_j +hf(x_j,y_j)

    In this case x_j is t_j

    h = 0.05
    y(0) = 1
    What is the value of t_0 ? is equal 0 ?
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  3. #3
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    My idea is right? What I did is right?
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  4. #4
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    What is the value of ? is equal 0 ?
    Since y is a function of t, y(0)=1 means that when t=0, y=1. So yes, t_0=0
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  5. #5
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    Quote Originally Posted by badgerigar View Post
    Since y is a function of t, y(0)=1 means that when t=0, y=1. So yes, t_0=0
    OK. Thanks
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