Greetings, fellow tutor

i need help solving question 2,3,4,5 in matlab for this assignment. I already finish problem 1 part a and b.

Problem 1:

(a) Neglecting the resistance R for the moment, need to find the

resonant frequency of the undamped system as a function of C.

(b) the three values of the capacitance C needed to tune the

receiver to each of the respective frequencies w1 = 3, w2 = 5, w3 = 7.

Problem 2:

Returning to the case with resistance, rewrite the

differential equation as a system of first-order equations (this will be needed

for using ode45). Set C to the value from problem 1 that corresponds

to !1, and in preparation for using ode45 make an m-file (as described

in the tutorial). Print the code from your m-file.

Problem 3:

Use ode45 in Matlab to solve the differential equation

with initial conditions Q(0) = 0 and Q0(0) = 0. Plot the solution over

the interval [0; 100]. Instead of noise, the plot should resemble the first

signal E1(t). Print the plot and label it esponse tuned to E1". Repeat

this for the second signal E2 (choosing a new value of C), labeling the

plot esponse tuned to E2".

Problem 4:

Choose a value of C that leads to a noisy response

(something that looks as noisy as the input depicted in Figure 4). You may

have to experiment. Plot your solution and label it oisy response".

Problem 5:

Add a fourth signal E4(t) = a4(t) cos(11t) with w4 = 11

as the frequency, while choosing your own amplitude modulation a4(t)

(be creative!). Specify your choice here. Use an appropriate value of

C to tune to E4, and plot the response of the system|label it \my

signal".

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