Question: For parts b and c, please write out the complete steps for expanding the forcing function and the initial condition. The forced longitudinal vibrations of
For parts b and c, please write out the complete steps for expanding the forcing function and the initial condition.

The forced longitudinal vibrations of a rod with free ends are governed by the equa- tion: t22u=x22u+x2cost with B.C. xu=0 at x=0,1 and I.C. u=0 and tu=x at t=0. b) Expand the forcing function in a series of Un(x). c) Expand the I.C. in a series of Un(x)
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