Question

answer with easy to follow MAtlab for beginners. thank you

4 Optional MATLAB Assignment 4 Exercise 1 Use daolve , to solve and plot the solution to the initial value problem: 8 r(0)-$ z'(0) = V2.

Answer 1

>> syms x %% this is to define the system we are working on
>> dsolve('(1/8)*D2x+16*x = 0','Dx(0) = sqrt(2)','x(0) = 0.5') %% this is the command to solve the differential equation with the initial conditions , sqrt means square-root

ans =

cos(8*2^(1/2)*t)/2 + sin(8*2^(1/2)*t)/8

>> pretty(ans) %% this is to get the function in a convenient looks
cos(8 sqrt(2) t)   sin(8 sqrt(2) t)
---------------- + ----------------
        2                  8

>> ezplot(ans) %% this is for plotting the function
>> ezplot(ans,[-2 2 -0.6 0.6]) %% here I am defining the co ordinates of the graph from where to where the function will be plotted [x₁ x₂ y₁ y₂]

cos(8 212 t/2 + sin(8 212 t)/s 0.4 0.2 -0.2 -04 -0.6 .2 1.5 0.5 0.5 1.5

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