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Thread: 2nd order ODE

  1. #1
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    2nd order ODE

    Given y''(t)+7x'(t)= 0 with x'(0)=a constant U

    Solve for y'

    Can l integrate the above ODE directly with respect to a variable t? hence,

    y'(t)=-7x(t)

    Thanks
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  2. #2
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    Re: 2nd order ODE

    Quote Originally Posted by ssonia View Post
    Given y''(t)+7x'(t)= 0 with x'(0)=a constant U

    Solve for y'

    Can l integrate the above ODE directly with respect to a variable t? hence,

    y'(t)=-7x(t)

    Thanks
    yes but there will be a constant of integration

    $y^\prime(t) = -7x(t) + C$
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  3. #3
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    Re: 2nd order ODE

    And if y'(t) = a constant V, then C=v+7x(t) ?
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  4. #4
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    Re: 2nd order ODE

    Yes.
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  5. #5
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    Re: 2nd order ODE

    Thanks Archie....
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  6. #6
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    Re: 2nd order ODE

    Quote Originally Posted by ssonia View Post
    And if y'(t) = a constant V, then C=v+7x(t) ?
    Yes, but how do you know that y' is a constant? Do you mean y'(0)= V? (If so there is no need to say "a constant".)
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