MATH 215 Midterm: MATH 215+255 2005 Winter Test 2
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The exam is worth a total of 100 points with duration 2. 5 hours. Justify all answers, show all work and explain your reasoning carefully. You will be graded on the clarity of your explanations as well as the correctness of your answers. The plea of accident or forgetfulness will not be received. (4) smoking is not permitted during examinations. Solve the rst order di erential equation xy = (1 2x2) tan y. Solve the rst order di erential equation x + 2 y! dy + y dx = 0. Solve the 2nd order equation y + 4y = x sin x. Solve the 2nd order equation y + 2y + y = e x ln x. Solve the initial value problem y + 9y = f (t), y(0) = 0, y (0) = 0 where the function f is given by f (t) = ( t, 0 t < 1 t 1.
