ode45 Error not working

Use ode45 to overlay plots of solutions to this differential equation with y (0) = c for c ranging from 0 to 1 in steps of 0:1.

equation: 5*y*(1-y)-(1+(1/2)*sin(2*pi*t));

Attempted code:

syms y(t);
for c = 0:0.1:1
    f = @(t, y) 5*y*(1-y)-(1+(1/2)*sin(2*pi*t));
    [t,y] = ode45(f, [0,0], c)
end

Error:
Error in ode45 (line 115)
    odearguments(FcnHandlesUsed, solver_name, ode, tspan, y0, options, varargin);

Error in Project_3 (line 33)
    [t,y] = ode45(f, [0,0], c);

If I change the 2nd 0 to 1 in the ode45 it works but my question asks for it at y(0).

[Torsten]

If you set

tspan=[0,0]

as you do, you try to integrate from tstart=0 to tend=0 which does not make sense.

Best wishes

Torsten.

Answer 1

[Walter Roberson]

Do not use for to calculate at those time steps. You cannot use the ode* functions to calculate a single individual time step. Instead, create a vector holding the timesteps you want to be evaluated at and pass that vector in the tspan argument position to ode45 -- a single call, not a loop.