MATLAB: Solving an ODE with time dependent term

ode

I want to solve the ODE y'(t)=A(t)y(t)+C, where A(t) is a prespecified vector. So I have a time span [0,10] and I want to solve the ODE for y(t) ever 0.01s. I already have the vector A(t) specified every 0.01s. What is the best (fastest, most accurate) way to solve this?

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See: ODE with Time-Dependent Terms

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MATLAB: ODE solver with time-dependent term

 Outside the function or as the third column of the output "y" output versus "t", I get
 different graphs: ...

Of course you do. Inside the function to be integrated you define get the value:

sicw = A * sin(w0 * t - theta);

and provide it as 3rd component. Then ODE45 integrates this. This must be different from the values defined outside the integration

sicw = A * sin(w0 * t - theta);

because ODE45 replies its integral:

Integral(a * sin(b*t)) = -a/b * cos(b*t) + C

MATLAB: I want to solve some coupled differential equations using ode45, but here I have to pass some constants in that function as well. How will the code be written.

function dy=yourfunction(t,y,k,g)   % k, g are your constants
%your code

To call ode45

[t,y]=ode45(@(t,y) yourfunction(t,y,k,g),tspan,y0)

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MATLAB: ODE solver with time-dependent term

MATLAB: I want to solve some coupled differential equations using ode45, but here I have to pass some constants in that function as well. How will the code be written.

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