Q1: Solve the following PED: ди ди = д1 ?х2 15x5/1/201 if u (x, 0) = 2x when 05x5
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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Question
Transcribed Image Text:Q1: Solve the following PED:
du d²u
=
if u(x, 0) = 2x when 0≤x≤ 1/12/2
ət əx²
Q2: find the Laplace of the following functions:
(cos w
cosw, for 0 < t <
a- f(x)= =
70
2π
0
,for, < t <
Q3: Using Laplace Transforms, find the solution of the initial value problem:
d²y
+9y 9. sin(t). U(t - 3),
=
y (0) = y'(0) = 0
dx²
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