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5. Find the solution to the following IVP ty' 2 3t cos(4t), (T/8) 0. 3,2 33 sin(4t) Answer: y (t)t 4 6. Consider the differential equation (a) Find the equilibrium solutions of the ODE. (b) Construct a phase diagram and determine the stability of the critical points. (c) Make rough sketches of typical solution curves. Answer to a portion of (b): cr.pts. -2-unst,0-st,2-unst
5. Find the solution to the following IVP ty' 2 3t cos(4t), (T/8) 0. 3,2 33 sin(4t) Answer: y (t)t 4 6. Consider the differential equation (a) Find the equilibrium solutions of the ODE. (b) Construct a phase diagram and determine the stability of the critical points. (c) Make rough sketches of typical solution curves. Answer to a portion of (b): cr.pts. -2-unst,0-st,2-unst
6 Dec 2022
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Casey DurganLv2
23 May 2019
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