Which of the following define linear operators on the vector space C1(R) of continuously differentiable scalar functions?
Question:
(a) L[f] = f(0) + f(1)
(b) L[f] = f(0) f(1)
(c) L[f1 = f²(1)
(d) L[f] = f²(3) - f(2)
(e) L[f] = x2 f(x)
(f) L[f] = f(x + 2)
(g) L[f] = f(x) + 2
(h) L[f] = f²(2x)
(i) L[f] = f²(x2)
(j) L[f] = f(x) sinx - f²(x) cosx
(k) L[f] = 2 log f(0)
(1)
(m)
(n)
(o)
(p)
(q)
(r)
(s)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: