Question

Consider a function (fx) such that L(f)(2) = 1; f(0)=1; f'(0)=0 Where L(f)(s) denotes the Laplace...

Consider a function (fx) such that L(f)(2) = 1; f(0)=1; f'(0)=0

Where L(f)(s) denotes the Laplace transform of f(t)

Calculate L(f'')(2)

Homework Answers

Answer #1

The formula for Laplace transform of   is given that ,

Now we will use the given data to find the value of   .

As  

, Since  

Hence ,

Answer : .

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the Laplace transform of the given function: f(t)=(t-3)u2(t)-(t-2)u3(t), where uc(t) denotes the Heaviside function, which...
Find the Laplace transform of the given function: f(t)=(t-3)u2(t)-(t-2)u3(t), where uc(t) denotes the Heaviside function, which is 0 for t<c and 1 for t≥c. Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). L{f(t)}= _________________ , s>0
Take the Laplace transform of the following initial value problem and solve for Y(s)=L{y(t)}: y′′−2y′−35y=S(t)y(0)=0,y′(0)=0 where...
Take the Laplace transform of the following initial value problem and solve for Y(s)=L{y(t)}: y′′−2y′−35y=S(t)y(0)=0,y′(0)=0 where S is a periodic function defined by S(t)={1,0≤t<1 0, 1≤t<2, and S(t+2)=S(t) for all t≥0. Hint: : Use the formula for the Laplace transform of a periodic function. Y(s)=
Find the inverse Laplace transform L−1{F(s)} of the given function. F(s)=(13s2−18s+216)/(s(s2+36)) Your answer should be a...
Find the inverse Laplace transform L−1{F(s)} of the given function. F(s)=(13s2−18s+216)/(s(s2+36)) Your answer should be a function of t.
Find the inverse Laplace transform of the function by using the convolution theorem. F(s) = 1...
Find the inverse Laplace transform of the function by using the convolution theorem. F(s) = 1 (s + 4)2(s2 + 4) ℒ−1{F(s)}(t) = t 0       dτ
Given the differential equation y''−2y'+y=0,  y(0)=1,  y'(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y} Y(s) =     Now...
Given the differential equation y''−2y'+y=0,  y(0)=1,  y'(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y} Y(s) =     Now solve the IVP by using the inverse Laplace Transform y(t)=L^−1{Y(s)} y(t) =
Determine the function f(t) if it is known that its Laplace transform is: F(s) = s/...
Determine the function f(t) if it is known that its Laplace transform is: F(s) = s/ (s + 2)^2 + 3
Use Definition 7.1.1, DEFINITION 7.1.1    Laplace Transform Let f be a function defined for t ≥ 0....
Use Definition 7.1.1, DEFINITION 7.1.1    Laplace Transform Let f be a function defined for t ≥ 0. Then the integralℒ{f(t)} = ∞ e−stf(t) dt 0 is said to be the Laplace transform of f, provided that the integral converges. to find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = te8t ℒ{f(t)} =      (s > 8)
Q) Let L is the Laplace transform. (i.e. L(f(t)) = F(s)) L(tf(t)) = (-1)^n * ((d^n)/(ds^n))...
Q) Let L is the Laplace transform. (i.e. L(f(t)) = F(s)) L(tf(t)) = (-1)^n * ((d^n)/(ds^n)) * F(s) (a) F(s) = 1 / ((s-3)^2), what is f(t)? (b) when F(s) = (-s^2+12s-9) / (s^2+9)^2, what is f(t)?
find laplace transform of f(t) =t^2(sin3t) find inverse laplace transform f(s) = 2-2e^-s/s^2
find laplace transform of f(t) =t^2(sin3t) find inverse laplace transform f(s) = 2-2e^-s/s^2
find the inverse Laplace transform of the given function. 1.  F(s) = (8s2 − 4s + 12)/...
find the inverse Laplace transform of the given function. 1.  F(s) = (8s2 − 4s + 12)/ s(s2 + 4) use the Laplace transform to solve the given initial value problem. 2. y'' − 2y' + 2y = 0; y(0) = 0, y' (0) = 1