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Math Help - seperation of variables help

  1. #1
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    Unhappy seperation of variables help

    use seperation of variables

    y' = (t^2)*e^(y+2t)


    i got the answer of y(t) = (t^3)/3-2t+c

    but online it tells me its wrong =(
    what am i doing wrong??

    on another note i dont even know how to start this one:

    Last edited by mr fantastic; October 14th 2009 at 03:09 AM. Reason: Tidied up the post
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  2. #2
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    Quote Originally Posted by bsanghera View Post
    use seperation of variables

    y' = (t^2)*e^(y+2t)

    i got the answer of y(t) = (t^3)/3-2t+c

    but online it tells me its wrong =(

    what am i doing wrong??

    on another note i dont even know how to start this one:


    Not sure how you got your answer but separating gives

    e^{-y}dy = t^2 e^{2t}dt

    For the second

     <br />
\frac{dy}{\cos^2 y} = \sec^2 y dy = \ln t \,dt<br />
.
    Last edited by mr fantastic; October 14th 2009 at 03:12 AM.
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  3. #3
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    Exclamation

    ok i got

    tan y =1/t + C

    from there i take the arctan(1/t + C)???
    im really frustrated and am never to finish a problem off i hate this feeling =(
    thank you for your patience with me
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  4. #4
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    Quote Originally Posted by bsanghera View Post
    ok i got

    tan y =1/t + C

    from there i take the arctan(1/t + C)???
    im really frustrated and am never to finish a problem off i hate this feeling =(
    thank you for your patience with me
    You'll need to integrate the right hand side. You differentiated.
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