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Math Help - Initial value problem w/ y'''

  1. #1
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    Initial value problem w/ y'''

    Hey everyone,
    I'm struggling with this problem. Any help would be much appreciated.

    Find y as a function of x if y''' +49y' = 0,
    y(0) = 2
    y'(0) = -42
    y''(0) = 98

    Cheers
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  2. #2
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    Quote Originally Posted by jbannist View Post
    Hey everyone,
    I'm struggling with this problem. Any help would be much appreciated.

    Find y as a function of x if y''' +49y' = 0,
    y(0) = 2
    y'(0) = -42
    y''(0) = 98

    Cheers
    Let v = y'. Then:

    v'' + 49v = 0.

    Can you solve for v as a function of x?

    (And from v get y ....)
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