Mathematical Methods in the Physical Sciences · Problem 8.13

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · green-functions-ode

Problem

Use (8.17) to find the solution of (8.7) with

y(0) = y(\pi/2) = 0

when the forcing function is

f(x) = \begin{cases} x, & 0 < x < \pi/4 \\ \frac{1}{2}\pi - x, & \pi/4 < x < \pi/2 \end{cases}

Hint: Write separate formulas for

y(x)

for

x < \pi/4

and

x > \pi/4