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    Vi Nguyen's Avatar
    Vi Nguyen Posts: 48, Reputation: 2
    Junior Member
     
    #1

    May 13, 2009, 12:04 AM
    initial value prob
    How do you solve an initial value problem:

    dy/dx= xe^(y-x^2) and y(0) = 0
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    May 13, 2009, 02:36 PM
    With this one, the best way is to separate variables:



    Rewrite using the log laws:



    Separate variables:



    Integrate:



    Now, can you finish by using the initial condition and solving for C? Just set y=0 and x=0 and solve for C.

    You can also solve for y.
    Vi Nguyen's Avatar
    Vi Nguyen Posts: 48, Reputation: 2
    Junior Member
     
    #3

    May 14, 2009, 04:06 AM
    You're the best!! Spent ages trying to work this one out. I don't know how to rate the answer, so please excuse me if I don't somehow rate it.:D

    Quote Originally Posted by galactus View Post
    With this one, the best way is to separate variables:



    Rewrite using the log laws:



    Separate variables:



    Integrate:



    Now, can you finish by using the initial condition and solving for C?. Just set y=0 and x=0 and solve for C.

    You can also solve for y.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
     
    #4

    May 14, 2009, 12:46 PM
    To rate an answer, just click on 'Rate this Answer" directly below the post.

    Glad I could help.

    Cheers,
    Cody

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