The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s – 2)(s – 3) O None of these |

Q: The Laplace transform of -5t, Select one: O F(s) 3e-5(s+2) s+2 F(s) = 3e-2s S O F(s) 3e-2s+5 s+5

A: Formula Used: 1) L{ect g(t)}=G(s-c)2) L{u(t-c)}=e-css

Q: s²+6s+9 L-1 Is3+s²-10s+8

A: Inverse Laplace transferom

Q: Find the Laplace transform of e- (s+1)? s-1 (s-1)2 s+1

A:

Q: (e²t - e-2) ² 1 + S- 4 S Option 3 None of the choices 1 2 S 4 Option 2 S 1 s+4 1 s+4 32 s(s² - 16)…

A:

Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: The Laplace transform of 2u (t-3) -5u(t-2) +u(t)= |2e+ True False

A: The given function is 2ut-3-5ut-2+ut To find the Laplace of the given function proceed as follows.…

Q: * Find the Laplace transform -5 -21 sint f(t) = te' -21 s + 2 2s + 4 (s² + 4s + 5)- (s² + 4s + 5)? 0…

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Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

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Q: 4. Find the inverse z-transform of X(Z) = (22-4) (2+3) Xx and also find o, 1,

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Q: The Laplace transform of f(t) = e38(t - 1) +te-3t is:

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Q: Laplace transform of t cos at s² + a² S (s2 – a?)2 (s² – a²)2 | | O Option 1 O Option 2 s² – a? (s2…

A:

Q: Find the Laplace transform of 6e5tcos2t - e7 6(s – 5) 1 (A (s – 5)2+4 s- 7 B s2+4 s- 7 (s – 5) 1 (s…

A: For the solution of the problem follow the next step.

Q: 22. Evaluate the Laplace Transform of * L{e-2t+4e-3t) Option 1 Option 3 5s + 11 (s+2)(s+3) 5s + 11…

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Q: Find the Laplace transform of f (t) = te2t sin 6t 12s+24 |(s)²+36 12s-24 2 (s-2)° +36| 12s…

A: Correct ans is =option B

Q: 2) Find the inverse Laplace transform of -2= 2(s+1)e 4e (s+1)² +16 -45 S+5

A:

Q: Find the laplace transform of f(t) = e-3t cos nt s+3 82 -6z+9+7? 8-3 s +6x+9+n 8+3 s2 +6s+9+7 8-3 g2…

A: Solution

Q: s +85 2 s²+5s +18.5 ³+5s².

A:

Q: cos 2t cos 5t S³ +29 (s²+49) (s² +9) Option 3 None of the Choices S³ + 29 (8² +49) (s²-9) Option 4 S…

A: The solution is given as

Q: Find the Laplace Transform of 10 + 5t +t- 4t

A:

Q: d³c(t) dt3 d?c(t) , dc(t) + dt d?r(t) dr(t) + 4- dt + 3r(t) +3- + 5c(t) = dt2 dt2 dc(0)_ d²c(0) c(0)…

A: Applying the laplace transform of the equation.

Q: f(t) = 5e"t – 5e¯al -at

A: The solution for the above question is as shown below.

Q: Find the Laplace transform of g(t) = 4cos(4t) - 9sin(42) + 2cos(10t) 9 A G(s) = s?+4 s²+16 s?+ 100…

A: To find Laplace transformation of  g(t) = 4cos(4t) - 9 sin(4t)+ 2cos(10t)