Question

Question 1

QUESTION 2

Use the attached Matlab code as a basis to solve the following ordinary differential equation using Euler's method, with timestep of 0.1, from t-0to t-100. d)0) -0 - sin (5vt cos(у Plot y versus t from t=0 to t=100. How many local maxima are on this interval(do not include end points). Be careful to count them all! Answer should be an integer 1 w% Matlab code for the solution of Module 2 3 dt-9.1; %dt is the numerical separation in time. 4 tmax=100; 5 t (0:dt:tmax]; st is a vector containing the t values at which we will find y(t) 6 N-length(t); %the number of specific tines we want to find the solution at. 7 y = zeros (N,1); his line makes a vector for all the y values we want to find %--at this stage all values of y are set to 0 as place holders 10 y(1)SThis is not y(1) in the algebraic sense, it is y(0). Inside the brackets in Matlab recall that we want to say the element of the vector and not the value of a continuous variable. %-note that t(1) -0, the first element of the vector t. What is this value from the problem? 14 for i-橳??? we start our calculation, not at the first point which we just prescribed but from the second one. %For each successive point in the time series, we will now calculate y based on the previous one 16 17 19 20 end 21 22 plot(t,y) 23 %How many local maxima do you see (look carefully for all of then d2 The code provided solves the boundary value problem 1) 1 y( ) on the interval 1

Answer 1

70 .98十 80.5 19(0.626+0.326] = 80.5十lol-0.667+0.165 83'82 96 07 d (Io)lo2.37