LM5180: How the output capacitor equation is derived shown in the datasheet

HI

let me check with the writer and feedback to you. what I think is the energy in transformer is equal to output power, so Vo*Io=0.5*Lmag*Ipeak^2*fsw, and in low Vin assume it works at BCM mode, in ton time, the capacitor proivde the energy to output which makes the ripple current.

so Co*dv/dt=Io, dt=D*fsw, dv=vripple, I made the formular to Lmag*ipeak^2*D/2*dVo*Vo.

Thanks