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Problem 4: Freely using the fact that if u(s, t) is a “nice enough" function of the variables s and t, then the following identity holds: d u(s,t)dt L du(s,t)dt, ds Prove that d (L{tf(t})(s) = -(L{f})(s). ds

Problem 4: Freely using the fact that if u(s, t) is a “nice enough" function of the variables s and t, then the following identity holds: d u(s,t)dt L du(s,t)dt, ds Prove that d (L{tf(t})(s) = -(L{f})(s). ds

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 4: Freely using the fact that if u(s,t) is a “nice enough" function of the variables s and t, then the following identity holds: d d u(s, t)dt = | ds"(s, t)dt, ds Prove that d. (L{tf(t)})(s) (L{f})(s). ds = --
Transcribed Image Text:Problem 4: Freely using the fact that if u(s,t) is a “nice enough" function of the variables s and t, then the following identity holds: d d u(s, t)dt = | ds"(s, t)dt, ds Prove that d. (L{tf(t)})(s) (L{f})(s). ds = --
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