These were the last two questions in a tutorial I had today but ran out of time before reaching them. Sadly answers dont get posted to the tutorials so I'm unsure on how to do these:

e) Find the Green’s function:

ODE:   $$\frac{d^2}{dx^2}$$g(x, s) − g(x, s) = δ(x − s),      0 < x < 1,

BC:    g(0, s) = g(1, s) = 0.


f) Use the Green's function to solve:

ODE:    u''− u = 1,                                  0 < x < 1,

BC:      u(0) = u(1) = 0.

difficulty advanced
 May 24, 2015

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