Abstract: The physical properties of electronic circuit can make people avoid using the tedious mathematical methods,and solve the differential equation more easily. In consideration of these advantages of electronic circuit, the following text will analyze the methods to solve second-order differential equation from the aspects of non-mathematical methods, and convert it to the form of circuit design. Through a concrete second-order differential equation, we can design the corresponding circuit, and test the designed circuit through computer simulation software. According to a few questions revealing from simulation results, we modify the circuit accordingly, and summarize the several requirements of circuit design in the modified circuit. On these basis, we can build a circuit model available to all of second-order differential equation further, as well as the design requirements of circuit components parameters.