Riccati differential equation in Matlab
I have to solve the following differential equation:
or more exactly: i need the n-th derivation for x=0 as a function of the known value y(0)=y0.
I know (from Maple) that there is no explicit solution, just a implicit one.
Is there any possibility to calculate the implicit solution and additional the derivations of it in Matlab?
And I have a additional question:
The equation from above is an approximation of the following equation:
where H is the hankel function.
is there a way to calculate tau_s by a given delta?
Thanks for your help