1st order differential equation

i am trying to solve this differential equation and the solution i get it is wrong so where is the error? and this my function dy/dt=k*y*ln(450/y) y(0)=40 and y(15)=95 and k is constant and this my MATLAB

tspan = [0 300];
y0 = 40;y15=95;
[t,y] = ode45(@(t,y) 'k'*y*exp(450/y), tspan, y0,y15);
plot(t,y,'-o')

Answer 1

[Takey Asaad]

Hi , the plot is still wrong , k should be get from the initial condition and the solution is y(t)=450/( e^e^(-0.02948t+0.8839) so how can i get this by MATLAB

[Torsten]

Please show the code you are using.

Answer 2

[Torsten]

This is a boundary value problem - use "bvp4c" instead of "ode45".

Or try "dsolve".

Best wishes

Torsten.