ENGR 213 Lecture Notes - Integrating Factor, Boundary Value Problem
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C. alecsandru, m. frank, n. rossokhata, h. kisilevsky, a. kokotov, 1. (10 marks) solve the following equations using separation of variables: (a) (b) (a) (b) dy dx. 3y 2 5 x 2 dy dx. 2. (10 marks) solve the following equations using the exact differentials method: 3. (10 marks) solve the following bernoulli equation 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: (a) (b) d 2y dx 2 4 dy dx. + 3y = 0 d 2y dx 2 + 2 dy dx. 6. (10 marks) the equation describing the motion of the mass - Spring-damper system shown underneath is: d 2 y dt 2. + k m y = 0 position without the mass.