math 251 quiz2 solution - 8. coshat 9. en'sinbt 1.0. eot...

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S oL^\-i ora Quiz 2 Name: Spring 2009 Instnrctor: Viteliy Gyrya Date: Ma^rch 26, 2009 All work must be shown to receive full credit! 1. Computc thc following (indicatc thc idcntity you arc using). C\ (a) L{u1 (r)(r - r)ez(t-r) sirr(r - rli1,yPe T \ t dt 5\"&)\ CtF -e-'#! "\ \ dt si-^S\.t9-e"f! l\rr.gl\t'-nQ ) Math 251 Section: I t\-t/ = (n \ = -s L D" (b) L,{*+},,,9 *g( : r.,.J&) J-'\t - fr\ tr-b) l s(*+ t) *+r s Lt{ t) .- t*tD cL =+ S bE t c (os"+ a) + ( bs' * Cs\ [o.+b)* + Cb +q c --o a:\
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Solution sf Initial Value Problems 317 TABLE 6.2.1 Elementary Laplace Transforms f (t) : c-'{r(s)} F(s) : Ll.f (t)l Notes l. I a ,,ril L. C 3. t", ,x = positive integer 4. tr,, p>-7 5. sin ar 6. cosa/ 7. sinh at
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Unformatted text preview: 8. coshat 9. en'sinbt 1.0. eot cos bf 11. f'd,t , rz : positive integer 12. 13. 14. 15. 't6. 77. 18. 19. l^ J>U s 1 J-rl nl Jn+l' I-(p + 1)- SP+l -' a-;--:---. s-+a' J-;--:-' s'+ o-u-------' s'-a-,'--;----:_' s'-a-s>4 s>0 s>0 .s>0 s>0 s>l4l s>lal b----------:----(s-a)'lb" s-a :-------:;--; \s-a)'+D' rtl-. S>d (J - cla+t P-cs s e-".F(s) F(s - c) 1 ztr :F(:), c>0 c \c,l F(s)G(s) e-r't s,,F(s) _,,,-rl(0) - ... -1tr-tr(0) F.(,') (s) Sec. 6.3 Sec. 6.3 Sec. 6.3 Sec. 6.3; Prob. 25 Sec. 6.6 Sec. 6.5 Sec. 6.2 Sec. 6.2; Prob. 28 13 14 18 ur(t) u"(t).f (t - c) e'' f (t) f (ct) I ft, - t)s(t)dt Jo d(/ - c) yt,rr(t) (-r)"f(r)...
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This note was uploaded on 01/03/2012 for the course MATH 251 taught by Professor Chezhongyuan during the Fall '08 term at Pennsylvania State University, University Park.

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math 251 quiz2 solution - 8. coshat 9. en'sinbt 1.0. eot...

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