(c) Compute L(ect) and express in factorised form. (d) For what values c ER does L(ect) = ect?

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(c) Compute L(ect) and express in factorised form.
(d) For what values c E R does Lect) = ect?
Transcribed Image Text:(c) Compute L(ect) and express in factorised form. (d) For what values c E R does Lect) = ect?
Consider the operation L on functions f(t) under the definition
df d² f
dt dt².
L(f(t)) := f(t) + +
That is, we can express L as:
d d²
dt dt2
L=1+ +
Transcribed Image Text:Consider the operation L on functions f(t) under the definition df d² f dt dt². L(f(t)) := f(t) + + That is, we can express L as: d d² dt dt2 L=1+ +
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