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Math Help - Separating variables and initial condition?

  1. #1
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    Separating variables and initial condition?

    I have this question: Separating variables and initial condition?-capture1.jpg I'm not sure why the fourth option isn't showing up but hopefully it's not needed. When I separated the variables I got 2x^2=arcsint+C and when I solved for C I got the C=8. Is this right? It gave me option two, but I'm just not sure. :/ Thanks!
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  2. #2
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    Re: Separating variables and initial condition?

    Looks good to me!
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  3. #3
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    Re: Separating variables and initial condition?

    Quote Originally Posted by Jester View Post
    Looks good to me!
    Wait a second, I think the third option works also though? :/
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  4. #4
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    Re: Separating variables and initial condition?

    The identity you're looking for is \sin^{-1}t=\frac{\pi}{2}-cos^{-1}t, not \sin^{-1}t=cos^{-1}t-\frac{\pi}{2}. So #3 doesn't work.

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