Unformatted text preview: − ! where ! ! is a given well-behaved function and “ a ” is a given constant. Q1-2 (5 points): Find the general solution of the following DE: ! ! 2 !" + 1 = 2 ! − ! ! Q1-3 (5 points): Consider shooting, at an initial speed ! ! , a bullet of mass ! to a medium whose resistance is – ! ( ! + ! ! ) where ! is the instatenous speed, ! is the given resistance constant and ! is another given constant. You may assume the medium infinite (for example, the ocean) and you may also neglect the gravity for this problem. Please (a) Compute the farthest distances the bullet can travel in the medium and (b) the time the bullet is in motion. (2.5 points/question)....
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- Spring '08
- Calculus, English-language films, Following, The Medium, Prof. Y. Deng