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Math Help - Initial Value Problem

  1. #1
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    Initial Value Problem

    I have a number of equations where I have to solve the initial value problem. I don't really understand what my notes say and the examples they give seem to basic to the ones I have to do.

    Could someone please help understand how to go about doing the following?

    arcsint = x^4(1-t^2)^1/2 dx/dt, x(0) = 0
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  2. #2
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    Quote Originally Posted by JQ2009 View Post
    I have a number of equations where I have to solve the initial value problem. I don't really understand what my notes say and the examples they give seem to basic to the ones I have to do.

    Could someone please help understand how to go about doing the following?

    arcsint = x^4(1-t^2)^1/2 dx/dt, x(0) = 0
    Your DE is separable so

     <br />
x^4\,dx = \frac{\sin^{-1} t}{\sqrt{1-t^2}}dt<br />

    Integrate both sides and then use your IC to determine the constant of integration.
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