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Midterm+2+with+solutions

# Midterm+2+with+solutions - MAE 140 Midterm Examination#2...

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MAE 140 Midterm Examination #2 Tuesday, November 20, 2007, 9:30am – 10:50am, SSPA 1100 Total Possible Score: 30 Points. No Books/Notes/Calculators/Computers/Phones. Problem 1 (15 Points): Integrating Factor and Ordinary Differential Equation Consider this ordinary differential equation (ODE) for y t with t 0 : dy dt 2 t y = 4 t (10 Points) Find the general solution y t with t 0 , using the integrating factor method or any other analytical method. Please make sure to show clearly each analytical step of your solution starting from the ODE. (5 Points) Find the particular solution y t with t 0 that satisfies the boundary condition y 1 = 2 and the ODE. Problem 2 (15 Points): Power Series and Ordinary Differential Equation

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