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Unformatted text preview: MATH 3200 Review for Test 2 Bennethum These are practice problems for test 2. For this exam, one side of an 8.5x11” sheet of paper will be allowed for notes. No technology of any kind will be allowed. The topics covered on this exam include material covered in Chapters 3 and 4 of Kohler and Johnson. Answers are given on the last page. 1. Prove the principle of superposition: If y 1 and y 2 are solutions to y ′′ + p ( t ) y ′ + q ( t ) y = 0 then y = c 1 y 1 + c 2 y 2 is also a solution. 2. The principle of superposition applies to (circle one): A) Linear second-order homogeneous differential equations B) Nonlinear second-order homogeneous differential equations C) Linear second-order non-homogeneous differential equations D) Nonlinear second-order non-homogeneous differential equations 3. Consider the following ODE: y ′′ + 2 y ′ + y = e 3 t (a) Give a physical interpretation in terms of a spring-mass-dashpot system....
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