Integration of a function

Hi I have function:

dy/dt = A(1-y/B)*exp(C*y)

y(at t=0) = 0 y (at t = infinity) = 1

A,B,C are constants and y is an unknown function of t.

I would like to solve for y and plot it as function of t. (t is time). This will allow me to compare with experimental results.

Can you please help, I am not able to get started.

I look forward to your response

[Torsten]

help ode45

[aymos]

Thanks Torsten !...

I am trying to use runge kutta 4th order and ode45, but Im not able to implement the code ! That is why I posted the question...

Answer 1

[Torsten]

    function main
    A=...;
    B=...;
    C=...;
    fun=@(t,y)A*(1-y(1)/B)*exp(C*y(1));
    tspan=[0 1];
    y0=0;
    [t,y]=ode45(fun,tspan,y0);
    plot(t,y)
    end

[aymos]

Hi Torsten ! Thanks...

Can you please tell if I have to change the range of t from 1e-5 to 1, how shall I do it ?

[Torsten]

tspan = [1e-5 1]