MATH 3D Study Guide - Final Guide: Talking Lifestyle 1278, Regular Singular Point, Nonlinear System
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Total marks = 100 (per question in brackets) Unless otherwise stated, include all your working for full credit. Try all parts of every question, even if you can"t do the rst part! Total: find the solutions to the following differential equations using whatever method you like. (a) dy dx. 2 (2) (5) (c) 2x(cid:48)(cid:48) + 5x(cid:48) 3x = 11 3t: state picard"s theorem and use it to explain why the initial value problem. Dy dx y(3) = 1 x y 2. + ex has a unique solution. (8) (5: you jump out of a plane and immediately open your parachute: your downward velocity v(t) . 0 (feet per second) satis es the initial value problem (20 v) Given that e3 20, round your answer to the nearest second. (5: a spring satis es the initial value problem. Find the initial speed of the mass a.
