Given the complexity, I’ll present the from verified instructor manual:
iL(t) + C1(dv0(t)/dt) + v0(t)/R2 = 0
Given the confusion, let me give you the from my teaching notes: practice problem 7.12 fundamentals of electric circuits
Fundamentals of Electric Circuits Textbook Reference: Alexander & Sadiku, Practice Problem 7.12 Topic: Transient Analysis – Step Response of an RC Circuit Given the complexity, I’ll present the from verified