rit 100 pesmijodi mo 7.11 Consider the first-order differential equation for s y(0) = 30 dt qmoa roastbosdi to sqola srs mor ) dy 5 + y(t) = 6u(t) patoges where u(t) is piecewise constant and has the following values: gris 9 sdi bus sisb sdi u(3) = 3 si te (b) 2ndq851 que tist articu(0) = 0 (199 kau(1) = 1 u(4) = 0.com = u(2) = 2 u(t) = 0 for t > 4 RODONG PE syt elogio Derive a difference equation for this ordinary equation using At = 1 and 287 61 58 mo mon sbam ai pni ognáno qsta (a) Exact discretization ni nevig esenogest rugiuo (b) Finite difference approximation stan od bil Compare the integrated results for 0 ≤ t ≤ 10. Examine whether At = 0.1 improves the finite difference model.nsions di teda

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5

7.11 Consider the first-order differential equation
dy
5 + y(t) = 6u(t)
dt
que atinoast
y(0) = 3
patoge
to
sqola odds mor )
where u(t) is piecewise constant and has the following values:
did
Martu(0) = 0
29
si bus sieb s
sqm
25an6q851 que tien
(b)
u(3) = 3
petamil.edi MOTH (
ognano Isfol sit
(19 u(1) = 1
u(4) = 0
bara
anni fine arborbenow!
u(2) = 2
u(t) = 0
RODOTC AE
fort > 4
ezogibo
Derive a difference equation for this ordinary equation using
At = 1 and
58 mont abam
ni ognido qsta
(a) Exact discretization
(b) Finite difference approximation
Compare the integrated results for 0 ≤ t ≤ 10. Examine
whether At = 0.1 improves the finite difference model.sions
nevig 252more strugu
Eng, Chem. RS,
1867
stansu od bail (s)
Transcribed Image Text:7.11 Consider the first-order differential equation dy 5 + y(t) = 6u(t) dt que atinoast y(0) = 3 patoge to sqola odds mor ) where u(t) is piecewise constant and has the following values: did Martu(0) = 0 29 si bus sieb s sqm 25an6q851 que tien (b) u(3) = 3 petamil.edi MOTH ( ognano Isfol sit (19 u(1) = 1 u(4) = 0 bara anni fine arborbenow! u(2) = 2 u(t) = 0 RODOTC AE fort > 4 ezogibo Derive a difference equation for this ordinary equation using At = 1 and 58 mont abam ni ognido qsta (a) Exact discretization (b) Finite difference approximation Compare the integrated results for 0 ≤ t ≤ 10. Examine whether At = 0.1 improves the finite difference model.sions nevig 252more strugu Eng, Chem. RS, 1867 stansu od bail (s)
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