As stated in this documentation page, "Local functions are only visible within the file where they are defined, both to the script code and other local functions within the file. They are not visible to functions in other files, and cannot be called from the command line." The local function F defined inside the script file function1dof is not visible to script file solver1dof.
If you created a function handle to F inside function1dof, executed function1dof, and used that function handle variable inside solver1dof then the ode45 call inside solver1dof could start. But the variables defined in the script file function1dof are not visible inside the function F, so you will receive an error about an undefined function or variable Lc when ode45 tries to call F using the function handle.
Either move the definitions of those variables into F itself (at which point you might as well just make function1dof a function file rather than a script file) or define them in solver1dof and pass them into F as parameters.
