Question 10.5.3: Find Green's function for the problem L u = d²u / dx² + 3 du...
Find Green’s function for the problem
Lu = \frac{d^{2} u}{dx^{2} } + 3\frac{du}{dx} + 2u = f (x), -1 \lt x \lt 1, (10.5.66)
u (-1) – 2u^{'} (-1) = 0u(1) + u^{'}(1) = 0 (10.5.67)
and solve the inhomogeneous problem for the cases
(a) f (x) = x (10.5.68)
and
(b) f (x) = exp (-x^{2} ). (10.5.69)
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