MATH 114 Midterm: MATH 114 UPenn Math114Fall 06 Exam
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It is important to show your work and justify each statement. You will receive partial credit for substantial progress towards the answers. You will lose partial credit for answers that are not justi ed. No calculators, books, or notes may be used except for one two-sided 8. 5 x11 sheet of notes. The time limit for this exam is 120 minutes. /90: solve the initial value problem: dy dx. = y sin x, y(0) = 4: solve the following di erential equation: 2y + y = 2 cos x x. 3. (a) a particle is traveling upwards along the y-axis. It starts at the origin at time t = 0 with speed equal to 2 units per second. At each time t, the magnitude of its acceleration is equal to its distance from the origin, and the direction of the acceleration is along the positive y-axis.
