11 10. JUNE di Toy - ruze , YU -- m 11. Find the Laplace transform...
e +e- 4. a. Find the inverse Laplace transform of b. Find the inverse Laplace transform f(t) of: then sketch the graph of f(t).
10. Explain using only the Laplace transform formulas developed in class. a) Find the Laplace transform of uſt - 3) sin (htt) b) Find the inverse Laplace transform of the function using convolution F(s)G(s) = f(t) *g(t) 1 s? (s2 + 1)
Question (2): Laplace Transformsa) Find the Laplace Transform of the following using the Laplace Transform table provided in the back:$$ f(t)=\frac{1}{4}\left(3 e^{-2 t}-8 e^{-4 t}+9 e^{-6 t}\right) u(t) $$b) Find the inverse Laplace Transform \(F(s)\) of the following function \(f(t)\) using the table:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
Q3 Find the inverse Laplace transform for the following expression [20] i. F(s) 10 4s +11 s2+118+10 65° +105+2 $3+352 +2s ii. F(S) 10
3. Find the inverse Laplace transform of F(s)-
3. Find the inverse Laplace transform of F(s)-
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Chapter 13, Problem 13.35 (Circuit Solution) Find the inverse Laplace transform of the following functions. (a) F(s) -8 S+ 6 (b) F(s) - e (c) F(s)-1-e-6s S + 8 (a) Find ft) (inverse Laplace transform) at t = 9. (b) Find f(t) (inverse Laplace transform) at t = 3. (c) Find f(t) (inverse Laplace transform) at t7. ) (inverse Laplace transform) a
2. (a) Find Laplace transform of tecosht s2 - 65+7 (b) Find inverse Laplace transform of (52 – 4s +5)
Question Use partial fractions to find the inverse Laplace transform of the function 11+ 3s 2 - 25 – 3 Select one: O a. -2e-+ 5e24 Ο b. 2e - 5e-t C. e - 3e-31 ΟΟΟ d. 2e-t -50 e. 24 +3e-
Problem Set 10 Math 250/251 5. a) Find the Laplace transform of : 1*t t2 b) Fint the inverse Laplace transform of the function in part a). c) Using parts a) and b), find 1 *t*t
Problem Set 10 Math 250/251 5. a) Find the Laplace transform of : 1*t t2 b) Fint the inverse Laplace transform of the function in part a). c) Using parts a) and b), find 1 *t*t
Problem 5. Determine the inverse Laplace transform of Problem 6. Determine the inverse Laplace transform of 2s2 4s 10 9(s) = 2(s+1) Problem 7. Determine the inverse Laplace transform of 2s 10