Mathematical Methods in the Physical Sciences · Problem 8.6

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · green-functions-ode

Problem

For Problem 5.17, show (as in Problem 1) that the Green function is

G(t,t') = \begin{cases} 0, & 0 < t < t', \\ (1/a)\sinh a(t-t'), & 0 < t' < t. \end{cases}

Thus write the solution of Problem 5.17 as an integral [similar to (8.6)] and evaluate it.