Find the inverse Laplace transform of the following expression. 8s + 4 52 - 4s +...
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
2. (a) Find Laplace transform of tecosht s2 - 65+7 (b) Find inverse Laplace transform of (52 – 4s +5)
find Inverse Laplace Transform 4s (b) L-1 2
Problem 15.30 (a and b only): Find the inverse Laplace transform of 62 + 8s +3 2+5s+6
Q3. Find the inverse Laplace transform of the following: a) 1 2 s+5)(s +4s +5)
Question 1: [25 pts] S+1 a) Find the inverse Laplace transform of the expression $2+4 b) Find the inverse Laplace transform of the expression (s-5)(s2+4) c) Use the information from the parts a) and b) to find the solution of the IVP y" + 4y = 6e5t, y(0) = 1, y'(0) = 1.
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).
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
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-
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.