ENGR 205 Study Guide - Midterm Guide: Amplitude Modulation
Document Summary
Normal form for a system of differential equations. Find the equation of motion for a given damped, forced vibration systems. Introduction to systems of linear differential equations with. Determine the equation of motion for a given undamped, forced vibration system at a resonance. Converting an (cid:1866) order differential equation into a system. Find the resonance frequency, (cid:884) , for a given damped, forced vibration system. Write the solution (cid:1877)(cid:4666)(cid:1872)(cid:4667) to a given undamped system (cid:4666)(cid:1865)(cid:1877) +(cid:1877)=(cid:1832)(cid:2868)cos(cid:4666)(cid:1872)(cid:4667),(cid:1877)(cid:4666)(cid:882)(cid:4667)=(cid:1877) (cid:4666)(cid:882)(cid:4667)=(cid:882)(cid:4667) with small (where = (cid:1865) ) as a product of a slowly varying sine function sin((cid:4666) (cid:4667)(cid:2870)) and a more rapidly varying sine function sin((cid:4666)+(cid:4667)(cid:2870)) Convert a given (cid:1866) order d. e. with specified initial values into a first order system in. Solve a given system of differential equations using the elimination method. normal form and solve. Solve a given linear system using laplace transforms. Find the resonance frequency for the system for #1. Just find (cid:1877)(cid:4666)(cid:1872)(cid:4667) for (cid:1832)(cid:2868)=(cid:885)(cid:884),(cid:1865)=(cid:884),=9, and =7, do not sketch.
