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Math Help - ODE and Linear Algebra again

  1. #1
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    ODE and Linear Algebra again

    y'' = *y

    Verify that cosh( λt - 4) is a solution to our ODE. Express this function in terms of both our old exponential basis, and our new hyperbolic basis.
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  2. #2
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    Quote Originally Posted by thehollow89 View Post
    y'' = *y

    Verify that cosh( λt - 4) is a solution to our ODE. Express this function in terms of both our old exponential basis, and our new hyperbolic basis.
    1)To show this is a solution just substitute.
    2)To express in hyperbolic basis use \cosh (x+y) = \cosh(x)\cosh(y) + \sinh(x) \sinh(y).
    3)Once expressed in hyperbolic basis replace \cosh,\sinh by exponentials.
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