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Q3 Find the inverse Laplace transform for the following expression [20] i. F(s) 10 4s +11...
Q3. Find the inverse Laplace transform of the following: a) 1 2 s+5)(s +4s +5)
1. (10 points) Find the inverse Laplace transform of the following: 85 - 4s +12 s? +45-5 b. F(x) = s(s? +2s + 5) 2. (10 points) Determine if the following differential equation is exact. Be sure give a reason for why or why not. If it is exact, solve it. (xy? + 3x y)+(x° +xºy)y'=0 a. F(s)= (1-25)e-
d and f only Obtain the inverse Laplace transform f () for the following: 2.8 5 6 4s a. $2+9 $2+4 s2+4 5 6 d. s(s +3) 2s +8 с. s2+4s+ 13 10 f. (s+3)(s+7 е. (s+3)(s +7)
Questions 7-12: Find the inverse Laplace transform of the following. 1) F(s) = s+7 e +2)e(s+8) 10.) F(s)+2 s2 +3s +6 2s + 22 8.) F(s)--s428- 11.) Fo) 4s+13 12s +108s2 +552s +1008 +12s +107s +426s+754 34s2 +119s+71 12.) F(s)
Find the inverse Laplace transform of the following expression. 8s + 4 52 - 4s + 40
9s 11 (1 pt) Find the inverse Laplace transform f(t) = L=1 {F(s)}| of the function F(s) s2 2s5 9s 11 f(t)= L' help (formulas) $2-2S+5
2. (a) Find Laplace transform of tecosht s2 - 65+7 (b) Find inverse Laplace transform of (52 – 4s +5)
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
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