MATH 240 Final: MATH 240 UPenn 240Fall13Final Exams
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No book, calculator or other devices are allowed. You may have a single 8. 5 x 11 sheet in your own handwriting. Show your work and circle the correct answer. No credit need be given for a correct answer with insu cient work. 1: the general solution to the ode: y + 5y + 6y = 0 is given by, c1e 2x + c2e3x, c1 sin(2x) + c2 cos(3x, c1e 2x + c2e 3x, c1e 2x + c2xe2x, c1e2x + c2e3x. 2: a trial function for the inhomogeneous ode: y . 3: suppose that y solves the following initial value problem: 8y + 7y = 2e2x y(0) = 3, y (0) = 10. y(1) then equals to: e2 + e3, e + e7 + e2, e 1 + e7 + e3, e + e4, e7 + e2. 4: the motion of a spring-mass system is described by: d2y dt2 + 2 dy dt. + 10y = 11 cos(t) + 7 sin(t).