If is continuous on [a, b], then the solution to dy/dt = f (t) with initial

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If ƒ is continuous on [a, b], then the solution to dy/dt = f (t) with initial condition y(a) = 0 is y(t) = [ f(u) du. Show that Euler’s Method with time step h = (b − a)/N for N steps yields the Nth left-endpoint approximation to y(b) = D J(u) du.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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