U h2

In the 1730s, Euler developed a systematic procedure for the solution of linear ordinary differential equations with constant coefficients, which made the solution of this equation straightforward. In the process, Euler created a unified theory of trigonometric and exponential functions and brought them all under the umbrella of the new calculus.

All solutions to Eqn (9.1) are of the form u = A cos(0 - 00) + x/h2, where A and 00 are arbitrary constants. If we write t = h2/x and e = tA, then this can be rearranged to give t r =

0 0

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