Differential Equation ODE45

The equation shown below represents x as a function of t.
Write the Matlab code that uses ode45 to numerically solve for values of x for the range of t=0 to t=4.4 if x=3 at t=0.

The first function in your solution should have this format:

Function name: ode_main

Inputs: none

Outputs:
1. list of t values
2. list of x values

Example call:
[t x]=ode_main()

Hints:
Solve the given equation for dx/dt.
Place that equation in a subfunction or anonymous function.
The time span should be a list of two numbers - the start and end times.
Call ode45 with the appropriate inputs and outputs.

I know this is simple for y'all out there, but I am just starting in MatLab and I'm not sure where I went wrong in my program. Here is my code to the problem given above:

function [tspan, x] = ode_main(time)

% This function has 1 input which is an end time
% It returns 2 outputs: a list of the time values
%                     : a list of the x values that coorelate to the time
%                       value.

tspan = [0 time];

% The initial condition was givin in the problem

x0 = 3;

dx = @(t,x)((x-6)./(3*t+1));

[t, x] = ode45(dx,tspan,x0);

return

[Walter Roberson]

I do not see an "equation shown below" ?

[Jan]

@Stephanie: You forgot to explain, why you think, that something went wrong.

Answer 1

[Francisco J. Triveno Vargas]

Hello my friend,

try this,

Regards

Francisco

tspan = [0 5];

% The initial condition was given in the problem

x0 = 3;

dx = @(t,x)((x-6)./(3*t+1));

[t, x] = ode45(dx,tspan,x0);

figure;plot(t,x); grid on