Question
Let p(x), q(x) be continuous functions. Consider the ODE 3y' + py' + qy = 0. (a) From lectures, recall that the set of all solutions to this ODE gives rise to a vectorspace, V. Show that V is an inner product space with inner product (f, 9) = f(0)g(0) + f'(0)/'(0). (b) Show that {cosh(x), sinh(x)} is an orthonormal ba
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