sin t, 0 5

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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Pls answer Question 4

3. (а)
Write the definition of the Laplace transform of a function f(t).
(Б)
Use the definition to calculate L{t}. State an appropriate restriction on s.
sin t, 0<t < 5
t > 5
4.
Express f(t) =
in terms of unit step functions.
5.
Using Laplace transforms, solve the IVP
y(0) = 0, y'(0) = -1, where f(t) =
0,
1, 0<t<1
t > 1
y" + 9y = f(t),
Transcribed Image Text:3. (а) Write the definition of the Laplace transform of a function f(t). (Б) Use the definition to calculate L{t}. State an appropriate restriction on s. sin t, 0<t < 5 t > 5 4. Express f(t) = in terms of unit step functions. 5. Using Laplace transforms, solve the IVP y(0) = 0, y'(0) = -1, where f(t) = 0, 1, 0<t<1 t > 1 y" + 9y = f(t),
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