I'm wondering if the continuity of $f(t,y)$ is necessary for the existence and uniqueness of the solution to $dy/dt=f(t,y(t))$.
I think the existence and uniqueness only require $f(t,y)$ has a continuous second partial differential.
I'm wondering if the continuity of $f(t,y)$ is necessary for the existence and uniqueness of the solution to $dy/dt=f(t,y(t))$.
I think the existence and uniqueness only require $f(t,y)$ has a continuous second partial differential.