Q3. Find the inverse Laplace transform of the following: a) 1 2 s+5)(s +4s +5)
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
find Inverse Laplace Transform 4s (b) L-1 2
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-
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
Find the inverse Laplace transform of the following expression. 8s + 4 52 - 4s + 40
2. (a) Find Laplace transform of tecosht s2 - 65+7 (b) Find inverse Laplace transform of (52 – 4s +5)
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
3. Find the inverse Laplace transform of F(s)- 3. Find the inverse Laplace transform of F(s)-
determine inverse Laplace transform of a-c 10s (a) (s + 1)(s + 2)(s + 3) 2s+ 4s + 1 (b) (s + 1)(s + 2) s +1 (c) (s + 2)(s? + 2s + 5)
5. Find the inverse Laplace transform of H(s) = 5s? +21s +18 (s +1)(s+2)?