Solve the boundary
value problem \displaystyle x''(t) + 3 x(t) = \sum_{n=1}^\infty \frac{6}{n^2} \sin( n \pi t)
with x(0) = 0 , x(1) = 0 .

The solution is\displaystyle x(t) = \sum_{n=1}^\infty b_n \sin (n \pi t)
where

b_n = {}

Write out the first 3 harmonics of this series:

help (formulas)

The solution is

Write out the first 3 harmonics of this series:

help (formulas)

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