We have determined the following.f(t(t - 1)e-st dt = -(t-1)e-ste-st+ Cs²This allows us to evaluate the improper integral and find L{f(t)}, such that s > 0. The result is a function of s.L{f(t)} = ²√₁= 2/² (t-1(t - 1)e-st dt00-26-² (t-1)e-st=S-st(s > 0)

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Answered: We have determined the following. Sct.…

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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We have determined the following. Sct. (t - 1)e-st dt = (t-1)e-st e-st + C S 5² This allows us to evaluate the improper integral and find L{f(t)}, such that s > 0. The result is a function of s. L{F(t)} = 2 [° (t-1)e-st dt 00 e-st 1 - ² (- (t-1)e-st - S (s > 0)