CF&PI.pdfPlease forgive me if I havent included enough detail before now but hopefully the attached document will help. It is my attempt to solve exactly the same problem using complementary function and particularly integral. The circuit values are c = 22uF, L = 100uH, Ro=10 ohms. The input forcing function is a periodic square wave with zero offset and does not go negative with amplitude = 23.5v and frequency = 43Khz, T=23.25us, ton=6.43us, toff=16.8us and duty cycle D=0.28.
Kind Regards, derick007