This paper presents an efficient numerical methodology to obtain the frequency response of switched-capacitor filters based on the circuits' differential equations. This methodology uses a non-hierarchical approach in which the non-ideal effects of the transistors (in the switches and in the amplifier) are taken into consideration, allowing the accurate computation of the frequency response, even in the case of incomplete settling in the SC branches. The accuracy is demonstrated by comparing the results obtained using the proposed methodology with those obtained using transient electrical simulation results for three different SC circuits: a first order SC passive filter, a second order SC lowpass filter, and a second order SC bandpass filter, showing that the results are in good agreement with the more time consuming electrical simulation of the circuits.