Let uA be the exact saolution of the Iuf: y" -gy`-2y.=te';ylal=1, y'lo) -1. Find te Laplace transform, Y(s) of ylt),and then find g(t).la) Y(s)= 6-11?, y(4)= 2t cost - Sint stetyt) = tet+ tet+ 2e²+%3D(5-1122(b) Y(s) = 75-1]= * Ts t)?S-2(6) Ys) =4 s-12 (s-1)23 S-212 S+1,Re*-te*te* +\2(6) YIs) =%3D(5-1)2 (s-1)le) None of these.

Answered: Image /qna-images/answer/7b9fe6e8-664d-4542-a8fa-e9652c1c91c1.jpg

Let ufA be the evact solokian of the Inf: y"-g`-2y =tẻ, ylols1, y'co) =-1. Find he Laplace transform, Yis) of glt), and then find y(t). (a) YGs)= , ' yA = 2+cost - sint a tet y(A) = 2+ cost -Sint+tet Is-112 2 (b) Y(s) = 75-1]=" (st)? y(t) =tet+ te *+ 2e* %3D 5-2 (6) Ys)= 4. 1. 2 (s-1)2 3 S-2 |2 Stl, (A) Yis) = gl41=2e* te*te* +l %3D Stl (5-1)2 (s-1) 1. le) None of these.

Let ufA be the evact solokian of the Inf: y"-g`-2y =tẻ, ylols1, y'co) =-1. Find he Laplace transform, Yis) of glt), and then find y(t). (a) YGs)= , ' yA = 2+cost - sint a tet y(A) = 2+ cost -Sint+tet Is-112 2 (b) Y(s) = 75-1]=" (st)? y(t) =tet+ te + 2e %3D 5-2 (6) Ys)= 4. 1. 2 (s-1)2 3 S-2 |2 Stl, (A) Yis) = gl41=2e* tete +l %3D Stl (5-1)2 (s-1) 1. le) None of these.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

FIND LAPLACE TRANSFORM
10s Let L' be the inverse of the Laplace Transform of : 10s + 8s – 9 s' + 8s – 9 10s then, L' + 8s – 9 |(а) е' + 2е 3 |(b) (c) e' e' e-9t -9t - e |(d) e' + 9e |(e) -9t e' + (f) le' + 4 |(g) |(h) e' + e"
Consider f(x) = xe*. The Fourier Sine transform of f(x)| F,F](z) =| 1/(1+z^2) The Fourier Cosine transform of f(x) Fef](2) = sqrt(2/pi)((1-z^2)/(1+z^2)^2) Note that while we usually denote the transformed variable by a, the transformed variable in this case is z.
3) The vertical displacement from its natural length of a spring mass system is described by y"LE) + Ty'Lt) + 12 ylt) = 3, where timet is measured in seconds, using laplace transform solve the DE of the position of the mass after t = 20 seconds if the initial position is y(t) = 0 m/s and initial velocity y'lt) = -1 m/s when E=0.
1. Please provide correct answers, thanks (laplace transform)
What do theTranscendental Functions include?
Find the Laplace transform,F(s) of the function f(t)=(e^−4t−e^−t)^2 t>0s>−4
Find the Laplace Transform of the following periodic functions 2 (1-s) 3) f(1) =e', (0
Find De using laplace transform
Find the inverse Laplace transform of 4 (s+ 1) (s - 2) *e'(t-1) 9. O fe(-31+e-1) 4 e31 4t 4 e' --e'(3t+1) 9 4 ㅎ(31-e31+1) - 9