Exercise 2.7.6

Answers

1.

Use the fact

D (f + cg) = D (f) + cD (g)

for functions $f, g \in C^{\infty}$ and scalar $c$ . This fact is a easy property given in the Calculus course.

2.

p (t)

is a polynomial, then the differential operator

p (D)

is linear by Theorem E.3.

jephianlin

2011-06-27 00:00