Question: (a) Explain why the differential operator L = D Ma D obtained by composing the linear operators of differentiation D[f(x)] = f(x) and

(a) Explain why the differential operator L = D ○ Ma ○ D obtained by composing the linear operators of differentiation D[f(x)] = f′(x) and multiplication Ma[f(x)] = a(x) f(x) by a fixed function a(x) defines a linear operator.
(b) Re-express L as a linear differential operator of the form (7.14).

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