please calculate all parts step by step and thank you i will make sure to vote!! 40. If N(s) = 2s², find L-1 {N} for(N(S)D(SD(s) = a) s² - 1b) (s + 3) (s² + 19s +90)c) (8s + 12) (16s² + 12s + 2)

Since you have posted a multiple question according to guildlines I will solve first(a) question…

Answered: 40. If N(s) = 2s², find L-1 D(s) = a)…

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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40. If N(s) = 2s², find L-1 D(s) = a) s² - 1 N(S)) for (D(S).