1 +s Find the inverse Laplace transforms of the following: a. F(s) = a (s+2)2 b....
Find the inverse Laplace transforms of (a) (b) (c) s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) = (5-7)2 s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) =...
Find the Laplace transforms of the following functions: a) F(s) = (25-1)(2s+1) (4s2–4s+1)2 S+1 bb F(s) = (s2–25+5)
8. Find the inverse Laplace transform L-{F} for F below (hint: complete the square). F(S) S + 10 S2 – 6s + 34
Find the inverse Laplace transformation of: a) F(s)- b) F,(s)--2 c) F(s) = 2,242 4 s2+6s +5 s2 +3s +1 3+2s+s s2 +9s +18 e) F(s)--一5 2s4 +12s+90 (s+2)(s +2s+2)
+ 44 7-8 Use the shifting theorems to compute. the inverse Laplace transforms L F (S) = 25-1 S2-45+20 7. (2 -55 e 8. F(S) = s²+65+10 and lifting theoren
1. problem 2. and 3. as follows Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0
6. For each of the following Laplace transforms F(s), determine the inverse Laplace transform f(t). (a) f(3) = 6+2*&+4) (b) F(s) = (65) (c) F(s) = 12+2
Homework Set 5 f(t) F(S) Section 4.1: Apply the definition to directly find the Laplace transforms of the given functions. (s > 0) 1 (s > 0) S- 1. Kt) = 12 2. f = 23t+1 Use transforms from the Table (op right) to find the Laplace transforms of the given functions. t" ( n20) (s > 0) r(a + 1) 1a (a > -1) (s > 0) 5+1 3. f(t) = VE +8t 4. f(t) = sin(2tcos(2t) Use the...
1. (a) Using the Tables of Laplace transforms, along with the operational theorems, de- termine the inverse Laplace transform of 3s 7 82 -2s + 10 (b) Hence determine the inverse Laplace transform of 3s +7 -2s S2-2s10 1. (a) Using the Tables of Laplace transforms, along with the operational theorems, de- termine the inverse Laplace transform of 3s 7 82 -2s + 10 (b) Hence determine the inverse Laplace transform of 3s +7 -2s S2-2s10
- 2s e Find the inverse Laplace transform f(t) of F(s) = Then sketch the graph of f. S +2 Click the icon to view a short table of Laplace transforms. f(t) Choose the correct graph below. OA. B. Af(t) C. Af(t) Af(t) D. Af(t) 4u 1- 2 N. N- 2