in terms of unit step functions; e function and sketch its graph. なの。 s2 + 7²/4 S- (b) G(s) = %3D s2 + n2/4

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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Can you help me with question 3b in the pic? 

Bocks By Category BookAuth x
The Port Authority of New York x
H 2021 Summer Intern - Focu x O About iD Tech Camps Academi xO He 09 (032
+ C O Fle CUsers/rbese/Downloads/ma221-20F-Hw09-PROB pdf
3. For each of the transforms G(s),
• express the inverse transform, g(t) = L-' {G(s)}, in terms of unit step functions;
• represent g(t) in the usual format for a piecewise function and sketch its graph.
-4
(a) G(s) =
4.
+
e-2s
(b) G(s) =
s2 + n² /4
s² + n²/4
4. Use Laplace Transforms to solve the following initial value problem (IVP):
y"(t) + y(t) = f(t), y(0) = 0, y'(0) = 0, where f(t) =
u > 150 '
-1, Ast< 2n
0, 2n st
backspace
R
MuON
enter
S.
asned
W N
145
Transcribed Image Text:Bocks By Category BookAuth x The Port Authority of New York x H 2021 Summer Intern - Focu x O About iD Tech Camps Academi xO He 09 (032 + C O Fle CUsers/rbese/Downloads/ma221-20F-Hw09-PROB pdf 3. For each of the transforms G(s), • express the inverse transform, g(t) = L-' {G(s)}, in terms of unit step functions; • represent g(t) in the usual format for a piecewise function and sketch its graph. -4 (a) G(s) = 4. + e-2s (b) G(s) = s2 + n² /4 s² + n²/4 4. Use Laplace Transforms to solve the following initial value problem (IVP): y"(t) + y(t) = f(t), y(0) = 0, y'(0) = 0, where f(t) = u > 150 ' -1, Ast< 2n 0, 2n st backspace R MuON enter S. asned W N 145
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