1. (3 points each) Find the following functions, (a) L{(t – 1) step(t – 4)} -4.5...
1. (3 points each) Find the following functions, (a) _{(t - 1) step(t – 4)} (b) L-44 S- 2s +1 (c) C-{ 32 +63 + 25
1. (3 points each) Find the following functions, (a) L{(t – 1)-step(t – 4)}
this is a differential equation question
please solve them with steps and details also, make sure it is
correct
1. (3 points each) Find the following functions, (a) C{(t - 1) step(t - 4)} (b) C-{ S-2 } 2s +1 (c) C-{ s2 + 6s + 25
find. inverse Laplace transfer show step buy step soultion
+8 (b) s(+16) 2s3 3s +6s+4 (s2 +4)(s2 +2s+2) (c) +3s + (d) 2 2 1 s-2s +s (e) (s+2)e (f 2s +1 22-6s3 (g) -3s +2 2(s22r4) (24) (h) 2 (i) (2s+1 ($2+8)e (i) (216)
+8 (b) s(+16) 2s3 3s +6s+4 (s2 +4)(s2 +2s+2) (c) +3s + (d) 2 2 1 s-2s +s (e) (s+2)e (f 2s +1 22-6s3 (g) -3s +2 2(s22r4) (24) (h) 2 (i) (2s+1 ($2+8)e (i)...
Find the Laplace transform of each of the following functions. 1. $(t) = f*(4(t – 1)* sin(67) dt L{v(t)}(s) = b. g(t) = [ e 2-3(t-1) cos(71) dT L{$(t)}(s) = c. y(t) = e5(t-1) sin(97) cos(6(t – T)) dt L{s(t)}(s) =
Question 5. (8 points) Find the following: (a) L{t- sin(2t)} (b) C{2* * cos(t)} (c) c- )4+{2+2 +5} 4s S2 + 2s + 5 (d) C-1 6e-3 $2 +1
Find the Laplace Transform for each of the following: 1. L{2sin x + 3e0s 22}= (W) *** ** (m 3 to the (s? +1)(s2 + 4) 2. 1{eosusa)= ) og 2 ( 6+23+25 ( 6+2+25 2s ZS 3. Find the inverse Laplace Transform L'{- S +1 (4) tsint (B) ’sint (0) (D) rcost
Find Inverse Laplace Transform
2s +1 (C) L-I{ s2 + 6s + 25
10 sin 2t if 0 <t< 4. (a) Let r(t) if t > T Show that the Laplace transform of r(t) is L(r) 20(1 - e - e-78) 32 + 4 (b) Find the inverse Laplace transform of each of the following functions: s – 3 S2 + 2s + 2 20 ii. (52 + 4)(52 + 25 + 2) 20e-S ini. (s2 + 4)(52 + 25 + 2) (c) Solve the following initial value problem for a damped mass-spring...
Find the inverse Laplace transform, £^{F(s)}, of each of the following functions. Be sure to show all your worl 1. F(S) (s+2)3 = s+1 2. F(s) = $2 +48 $2 3. F(s) = (8-1)(8+1)(s+2) • 4. F(s) 6s+3 $4+592 +4 5. F(s) = 16 1 S 6. F(s) (s+2)(s2+4)