3. Which of the following are linear operators? (a) 0₁(x) = x²(x); (b) O₂(x) = x(d/dx)/(x); (c) O3(x) = λy*(x); (d) 0₁(x) = e(x); (e) 05¥(x) = [d√(x)/dx] + α; (f) Õ¥(x) = fx. dx' (√(x²)x²)
3. Which of the following are linear operators? (a) 0₁(x) = x²(x); (b) O₂(x) = x(d/dx)/(x); (c) O3(x) = λy*(x); (d) 0₁(x) = e(x); (e) 05¥(x) = [d√(x)/dx] + α; (f) Õ¥(x) = fx. dx' (√(x²)x²)
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![3. Which of the following are linear operators?
(a) 0₁(x) = x²(x); (b) O₂(x) = x(d/dx)¥(x); (c) 03(x) = √√*(x);
(d) 04(x) = e(x); (e) 05(x) = [d√(x)/dx] + a; (f) Of(x) = fx. dx' ((x¹)x²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95bfdf8f-f85c-45fa-96ca-ef34d2f765c3%2Faa9cde66-4b57-49ae-ad69-daf6a57b623f%2Fzkaagiu_processed.png&w=3840&q=75)
Transcribed Image Text:3. Which of the following are linear operators?
(a) 0₁(x) = x²(x); (b) O₂(x) = x(d/dx)¥(x); (c) 03(x) = √√*(x);
(d) 04(x) = e(x); (e) 05(x) = [d√(x)/dx] + a; (f) Of(x) = fx. dx' ((x¹)x²)
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