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Math Help - maximum value for initial value problem?

  1. #1
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    maximum value for initial value problem?

    Let y be the solution of the initial value problem
    y" + y = -sin(2x) where y(0) = 0 and y'(0) = 0
    The maximum value of y is___?


    I can find the general solution to this diff EQ.... but I don't know how to answer their question.

    Thanks =)
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  2. #2
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    Quote Originally Posted by plopony View Post
    Let y be the solution of the initial value problem
    y" + y = -sin(2x) where y(0) = 0 and y'(0) = 0
    The maximum value of y is___?


    I can find the general solution to this diff EQ.... but I don't know how to answer their question.

    Thanks =)
    If you have found y, differentiate it to find y', set it equal to 0 and solve for x.

    Then use the second derivative test to determine that it is in fact a maximum.
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