how to do Laplace transforms

(a) Use symbolic math to find the Laplace transform of the signal

x(t) = e−t sin(2t)u(t).

(b) Use symbolic math to work problem

x(t) = e−4t u(t)+e−5t sin(5t)u(t).

(c) Use symbolic math to find the impulse response of the causal system H1(s)

(d) Use symbolic math to find the impulse response of the causal system H2(s)

(e) Use symbolic math to find the impulse response of the causal system H3(s)

(f) Use symbolic math to find the inverse Laplace transform of X(s)

[Walter Roberson]

laplace() and ilaplace()

[richard harvins]

How do I solve these questions?

(a) Use symbolic math to find the Laplace transform of the signal

x(t) = exp(−t) sin(2t)u(t).

(b) Use symbolic math to work problem

x(t) = exp(−4t) u(t)+exp(e−5t) sin(5t)u(t).

(c) Use symbolic math to find the impulse response of the causal system

H1(s)=1/((s+1)(s+3))

(d) Use symbolic math to find the impulse response of the causal system H2(s)

H2(s)=s/(s^2+s+1)

(e) Use symbolic math to find the impulse response of the causal system H3(s)

H3(s)=s^2/(s^2+2s+1)

(f) Use symbolic math to find the inverse Laplace transform of X(s)

X(s)=1/(s^2+9)

[Walter Roberson]

http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

Hint: u(t) is https://www.mathworks.com/help/symbolic/heaviside.html

[Walter Roberson]

It would be very rare to want to use the charge on the electron, e, as an additive constant in a question such as these. Perhaps the given formula are incorrect and exponential should have been written instead of subtraction? e^(-t) which in MATLAB would be exp(-t)

[Walter Roberson]

How would you write

exp(−t) sin(2t)u(t)

as a matlab expression using the symbolic toolbox?

Answer 1

[Rahaf]

f(t)=u(t-9)

[Walter Roberson]

I don't understand how this answers the question?