Using Laplace transform to solve the following IBVP U=+1; 00 u(0, t)=t u(x, 0)=0 u,(x, 0)=x produces the ODE O a. U"-s? U= - s2 O b. U"-s U= - ! Oc U" -s U = -1- s2 O d. u"-s? U= - 1 Oe u-sU=-1- U"-s U= -1- O f. U" -s U= -x- o g. u"-s U= -1-- 1/S

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Using Laplace transform to solve the following IBVP
0<x<00
t>0
XX
u(0, t)=t
u(x, 0)=0
u,(x, 0)= x
produces the ODE
1
O a. U"-s? U= -
2
O b. -
1
U"- s? U=
S
1
Oc U"-s? U=-1-
Od.
U" -s? U= -
O e u"-s U= -1-
S
Of. U"-s? U= -x-
1
O g. U"-s? U = -1-
ー|の
Transcribed Image Text:Using Laplace transform to solve the following IBVP 0<x<00 t>0 XX u(0, t)=t u(x, 0)=0 u,(x, 0)= x produces the ODE 1 O a. U"-s? U= - 2 O b. - 1 U"- s? U= S 1 Oc U"-s? U=-1- Od. U" -s? U= - O e u"-s U= -1- S Of. U"-s? U= -x- 1 O g. U"-s? U = -1- ー|の
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