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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 thenUse the attached Matlab code as a basis to solve the following ordinary differential equation usi...
Please provide code and final answer. The code provided solves the boundary value problem 2 dr2 cos(a), J(1) , y(5)2.on the interval Toxksusing a Centred approximation of the derivative term and N= 100 nodes 1 we% Matlab code for the solution of Module 2 3 xright=5; 4 N 100; 5 x-linspace(xleft,xright,N); x x'; %this just turns x into a column vector dx- 7 (xright-xleft)/(N-1); %If theres N nodes, theres N-1 separations . 9 yright 2; 10 here is the matrix...
Please provide me the maximum computed y vector for the given domain The colde provided solbe)() 1, y(5).nthe ntred aproimation o 100 no y value prob 1) -1. บู(5) -2, on the interval-rousing a centred approximation of the derivative term and N-100 nodes. dr2 Matlab code for the solution of Module 2 3 xright-5; 4 N 188: 5 x=linspace(xleft , X right ,N); 6 x-x"; %this just turns x into a column vector 7 dx = (xright-xleft)/(N-1); %1f theres N...
I know the solution is 0.2, but it says incorrect for my quiz. I think there is a problem when writing log(x). Can someone help me? The code provided solves the boundary value problem dạy %= r- cos(x), y(1) = 1, y(5) = 2 , on the interval 1<x<5 using a d.x2 centred approximation of the derivative term and N=100 nodes. 1 4 x Matlab code for the solution of Module 2 xleft = 1; xright = 5; N =...
Matlab Matlab Matlab Matlab, Please solve this problem Problem 4 : Runge's phenomenon For this proble, you wil interpolate the function h(x) = tanh(10x) in I [a, b, through n datapoints (xi, hx with equidistant nodes for several values of n, and observe the behavior of the interpolating polynomial as n increases. You should use the pair of functions polyfit and polyval In your prob40: (a) Interpolate the function tanh(10x) in [-1,1] using a uniform grid of n nodes, where...
I DESPERATELY NEED HELP WITH THIS DIFFERENTIAL EQUATIONS MATLAB ASSIGNMENT IM SUPPOSED TO BE LEARNING BUT WE HAVE A SUB AND HE DIDN'T TEACH IT! ITS EULER AND IMPROVED EULER IN MATLAB! HERE IS THE LINK FOR THE IMAGE FILE THAT SHOWS THE FULL INSTRUCTIONS FOR THE CODE. https://imgur.com/a/gjmypLs Also, here is my code so far that I borrowed form an old assignment but the data is all wrong and the application of the code is slightly different so either...
ME 32200 Programming course (MATLAB) 4. Please finish the following Matlab code for solving the ODE: dy = y(1+1) dt I.C. y(0) = 0 with the multi-step 4th order Milne's Method, and apply 4th order Runge Kutta method to the first 4 points (1 boundary point and the next 3 points). (Hint: 4th order Milne's Method Predictor: 7i+ = Y-3 +h(2f;- fi- +25,-2) Corrector: y = y + + +0. +45j + fi-) Where f; = f(t;,y,) and Fit =...
code in Matlab Problem 1: The MATLAB humps function defines a curve that has 2 maxima (peaks) of unequal height over the interval 0 2, f(x) = r-0.3)2 +0.01 (r-09 +0.04 Use MATLAB to generate a plot of Kx) versus x with x [0:1/256:2: Do not use MATLAB's built-in humps function to generate the values of Rx). Also, employ the minimum number of periods to perform the vector operations needed to eneate x) values for the plo Problem 1: The...
Can you please help me with this question. Much appreciated. So I have a sample code, but we need to change the code in a way that fits the problem. A planar slab of material is initially at a temperature of 300 K. At the time t=0, microwave radiation is directed at the material, leading to internal heat generation that is uniform within the material. The sides of the slab experience negligible heat losses and a water bath maintains the...
Read the sample Matlab code euler.m. Use either this code, or write your own code, to solve first order ODE = f(t,y) dt (a). Consider the autonomous system Use Euler's method to solve the above equation. Try different initial values, plot the graphs, describe the behavior of the solutions, and explain why. You need to find the equilibrium solutions and classify them. (b). Numerically solve the non-autonomous system dy = cost Try different initial values, plot the graphs, describe the...
Matlab & Differential Equations Help Needed I need help with this Matlab project for differential equations. I've got 0 experience with Matlab other than a much easier project I did in another class a few semesters ago. All we've been given is this piece of paper and some sample code. I don't even know how to begin to approach this. I don't know how to use Matlab at all and I barely can do this material. Here's the handout: Here's...