ENGR 213 Study Guide - Final Guide: Integrating Factor, Boundary Value Problem
Document Summary
C. alecsandru, m. frank, n. rossokhata, h. kisilevsky, a. kokotov: korotkin, g. vatistas. 1. (10 marks) solve the following equations using separation of variables: (a) (b) (cid:160) dy dx. 2. (10 marks) solve the following equations using the exact differentials method: (cid:160) (a) (b) (cid:160) Dx = 1 ln x y x. 3. (10 marks) solve the following bernoulli equation (cid:160) dy dx. Y = e x y 2 subject to the boundary condition: x = 0, y = 1. 4. (10 marks) solve the following linear differential equations using the integrating factor method: (a) dy dx. 5. (10 marks) give the general solutions of the following differential equations: (cid:160) (a) (b) (cid:160) d 2y dx 2 4 dy dx d 2y dx 2 + 2 dy dx. 6. (10 marks) the equation describing the motion of the mass. Spring-damper system shown underneath is: (cid:160) d 2 y dt 2. + k m y = 0 position without the mass.
