2. f(t) =t cos 81 +2

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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Do NOT solve Number 1 because this was not discussed
in class and is minor compared to the others.
For nos.2-7, do NOT integrate anymore. Just use the
Laplace Formulas directly. If needed, apply the
trigonometric identities first [ For example, cos(A+B) =
cosAcosB - sinAsinB ] before using the Laplace formulas.
For no.3, v2t means (V2) t
Find L{f (t)} of the following functions. Note: a, b, e, k and n are constants.
(t+1 ,0<t<1
1. f(1) =-
le',t21
2. f(1) =t cos 81 +2
3. f(t) =1t+b +acosh 2t +bsinh /21
4. ()-2 cos" (21)-*
e
5. f(t)=-3t*e0s4 +3.8t²e²4+
6. f(t)=-e" sin (21 + 7)
7. f(t)= 3e" cosh (In 21) in two ways.
4 0.5t
2.4t
-2t
%3D
Note: Please DISREGARD the phrase "in
two ways" in item #7.
Transcribed Image Text:Do NOT solve Number 1 because this was not discussed in class and is minor compared to the others. For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the trigonometric identities first [ For example, cos(A+B) = cosAcosB - sinAsinB ] before using the Laplace formulas. For no.3, v2t means (V2) t Find L{f (t)} of the following functions. Note: a, b, e, k and n are constants. (t+1 ,0<t<1 1. f(1) =- le',t21 2. f(1) =t cos 81 +2 3. f(t) =1t+b +acosh 2t +bsinh /21 4. ()-2 cos" (21)-* e 5. f(t)=-3t*e0s4 +3.8t²e²4+ 6. f(t)=-e" sin (21 + 7) 7. f(t)= 3e" cosh (In 21) in two ways. 4 0.5t 2.4t -2t %3D Note: Please DISREGARD the phrase "in two ways" in item #7.
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