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HELP! Initial Value Problem Question-Differential Equations and Euler's Method

  1. Oct 11, 2008 #1
    URGENT HELP! Initial Value Problem Question-Differential Equations and Euler's Method

    1. The problem statement, all variables and given/known data
    This is just an extension of an earlier thread. I see now that they want me to use Euler's method so it might change the way I do the problem.
    The problem wants me to solve the initial value problem (for y I presume) and then use it with Euler's method to approximate the solution at t = 0.5,1,1.5,2,and 2.5.

    2. Relevant equations
    dy/dt = 5 - 3(y^(1/2)) y(0) = 2


    3. The attempt at a solution
    I took the equation as separable and took the integral of 1/(5-3(y^(1/2))) and found
    (-10/9)ln l 5 - 3(y^(1/2)) l + (2/9)(5 - 3(y^(1/2))) = t + C. I don't see how I can solve for y from here. Did I perhaps do my integration wrong? Is there another way to solve this IVP without separation? Or perhaps I don't need to solve for y?
    I know that I can solve for C using the given initial value of y but I don't see how this would help me. I know how to do Euler's method so you don't need to explain how to do that unless I have to do it in some special way to figure this problem out
    Any help would be appreciated
     
  2. jcsd
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