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Here is an example of  solved Matlab Problem  solved  by  our  Matlab Expert

Solving  a system of Linear Differential Equations  using Matlab Programing.

function f = plot_xyz_t()
% this  function plot t vs  x, y,z
% Uses ODE45 to solve

% dx_dt(1) = s*(x(2)-1*x(1))
% dx_dt(2) = x(1)*(p-x(3))-x(2)
% dx_dt(3) = x(1)*x(2)-b*x(3)

% All equations in terms  of coefficients
%dX/dt = [-s s 0; p set an error

options=odeset('RelTol',1e-6);
%initial conditions
Xo = [-8;8;27]
%timespan
tspan = [0,40]
%call the solver
[t,X] = ode45(@TestFunction,tspan,Xo,options);
%plot the results
hold on
plot(t,X(:,1)),':';plot(t,X(:,2),'-ro');plot(t,X(:,3),'-bo')
% plot(X(:,1),X(:,2)),':';plot(X(:,2),X(:,3),'-ro');plot(X(:,1),X(:,3),'-bo')

legend('x','y','z');ylabel('x,y,z, p 99.96');xlabel('t')
hold on
plot(X(:,1),X(:,2)),':';plot(X(:,2),X(:,3),'-ro');plot(X(:,1),X(:,3),'-bo')
legend('x','y','z');ylabel('x,y,z, p =99.96');xlabel('t')

return

function [dx_dt]= TestFunction(t,x)

%dx_dt(1) = dx/dt

% dx_dt(2) = dy/dt

% dx_dt(3) = dz/dt

% x(1) = x

% x(2) = y

% x(3) = z

s = 10    %   sigma

b = 8/3   %   beta

p = 99.96  %  row%a function which returns a rate of change vector

%M = [-1,-1;...

%1,-2]

%dx_dt = M*x;

dx_dt1 = 10*(x(2)-1*x(1))

dx_dt2 = x(1)*(p-x(2))-x(2)

dx_dt3 = x(1)*x(2)-b*x(3)

dx_dt = [dx_dt1;dx_dt2;dx_dt3]

return

MATLAB projects and Matlab assignment consist of  numerical variables, matrices ,vectors , graphics, classes, function handles  etc. Before using matlab tool it is not so easy to handle  Matlab tool which make student really confusing. Hence  Our  tutors  for all type of Matlab assignments, projects, Matlab Simulations are available to assist them, so that they  can get success while doing matlab courses and Matlab learning.

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