1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)=...

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8))

F(s)=

2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6)

F(s)=

3) Find the Laplace transform of f(t)=u(t−6)⋅t^2

F(s)=

Expert Solution

Colby Messinger answered 11 months ago

Find the Laplace transforms: F(s)=L{f(t)} of the function f(t)=(8−t)(u(t−2)−u(t−5)), for s≠0. F(s)=L{f(t)}=

Find the Laplace transform of the following functions. (a) f (t) = { 6 0 < ...

Find the Laplace transform of the following functions. (a) f (t) = { 6 0 < t ≤ 4 8 t ≥ 4 (b) f (t) = { t2 0 ≤ t < 3 0 t ≥ 3 (c) f (t) = { 0 0 ≤ t < π/4 cos[7(t − π/4)] t ≥ π/4

Find the laplace transform of the following functions, using the definition of Laplace transforms: f(t)=-2cos4t f(t)=2...

Find the laplace transform of the following functions, using the definition of Laplace transforms: f(t)=-2cos4t f(t)=2 sin^2(t) g(t)=3e^tcos(t)

1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...

1. Find the Laplace transform of each of the following functions: (a). f(t) = t , (b). f(t) = t2 , (c) f(t) = tn where n is a positive integer Laplace transform of the given function 2. . f(t) = sin bt 3. f(t) = eat sin bt

Find the inverse Laplace transform for 1 / ((s^2+1)(s+1))

inverse laplase transform problem F(s)= (7s+11)/s(s+5)((s^2)+4s+20) find F(t) using laplase transform

. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t)...

. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t) = 5e^3t cos(4t) − 6e^2t sin(7t)

(a) Determine the inverse Laplace transform of F(s) =(2s−1)/s^2 −4s + 6 (b) Solve the initial...

(a) Determine the inverse Laplace transform of F(s) =(2s−1)/s^2 −4s + 6 (b) Solve the initial value problem using the method of Laplace transform. d^2y/dx^2 −7dy/dx + 10y = 0, y(0) = 0, dy/dx(0) = −3. (c) Solve the initial value problem: 1/4(d^2y/dx^2)+dy/dx+4y = 0, y(0) = −1/2,dy/dx(0) = −1.

find inverse laplace transform of F(s)= (2s³ +5s²+8s+22)/[(s²+4)(s²+3s+2)]

Solve y"+y=u(t-pi/2)+3 delta(t-3 pi/2)-u(t-2 pi), by laplace transform methods with y(0)=y'(0)=0.

Question

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)=...

Solutions

Expert Solution

Related Solutions

Find the Laplace transforms: F(s)=L{f(t)} of the function f(t)=(8−t)(u(t−2)−u(t−5)), for s≠0. F(s)=L{f(t)}=

Find the Laplace transform of the following functions. (a) f (t) = { 6 0 < ...

Find the laplace transform of the following functions, using the definition of Laplace transforms: f(t)=-2cos4t f(t)=2...

1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...

Find the inverse Laplace transform for 1 / ((s^2+1)(s+1))

inverse laplase transform problem F(s)= (7s+11)/s(s+5)((s^2)+4s+20) find F(t) using laplase transform

. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t)...

(a) Determine the inverse Laplace transform of F(s) =(2s−1)/s^2 −4s + 6 (b) Solve the initial...

find inverse laplace transform of F(s)= (2s³ +5s²+8s+22)/[(s²+4)(s²+3s+2)]

Solve y"+y=u(t-pi/2)+3 delta(t-3 pi/2)-u(t-2 pi), by laplace transform methods with y(0)=y'(0)=0.