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Plotting ODE's Solutions and Intial Value Problems Using TI-Nspire?

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  1. Jan 26, 2012 #1
    I have been trying to figure out how to plot a differential equation using my TI Nspire with very little luck. I managed to find that I can set the graph of the calculator to a directional field but I am not 100% sure I am getting the right results. So I figured I would ask to see if anyone here uses a TI Nspire and can give me an idea of how to plot these equations.

    For example I have the equation

    y'=-2y^2
    where a solution for it is:
    y(t)=3/(6t-11)
    with an initial value of:
    y(2) = 3

    in my TI Nspire I put in something such as:

    y1'=−2*y1^(2)

    but since I know y(2)=3 what do I do? exactly? Am I doing this right?




    I also have another equation where:
    y'+4y=cos(t)

    a known solution of
    y(t) = 4/17cos(t)+1/17sin(t)+Ce^-4t

    and initial known value of:
    y(0) = -1

    should I solve this in terms of y' to plot it or what exactly?
     
  2. jcsd
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