MAP 2302 Final: MAP 2302 FIU de Final Exam
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Read me first: notation when presenting your computations and arguments. Remember this: "=" denotes "equals" , " " denotes. "implies" , and " " denotes "is equivalent to". Show me all your magic on the page. If an initial condition is not given, display the general solution to the differential equation. (20 pts. /part) Solve each of the following differential equations or (a) dy dx. 1 x 2 1 y(1) ln(2). (b) dy dx. 1. (c) x 2 xy y 2 dx x 2 dy. 14x 2y 5 (f) x 2 d 2y dx 2 x dy dx y. 1. (g) d 2y dx 2 y tan(x) ; y( . Work the following problem which uses hooke"s law: (10 pts. ) A 256 pound stone is attached to the lower end of a spring with a fixed support. (the spring is vertical. )
