O Determine the solution of the initial value problem: – xy =x* cos(2x), de y(z) = 27

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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Q3
(a) Determine the solution of the initial value problem:
xdy - xy =x* cos(2x),
dx
y(7) = 27
(b) Given the function f(t)=2 sin(@t) , determine the Laplace
transform of the function f(t)e".
(c) Determine the function f(t) whose Laplace transform is:
s+4
F(s) =
s(s– 2)
Transcribed Image Text:Q3 (a) Determine the solution of the initial value problem: xdy - xy =x* cos(2x), dx y(7) = 27 (b) Given the function f(t)=2 sin(@t) , determine the Laplace transform of the function f(t)e". (c) Determine the function f(t) whose Laplace transform is: s+4 F(s) = s(s– 2)
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