Computer: Phase-Plane Trajectories: Each of the functions in Problems 1-3 is the solution of a line…
Автор: Harold Edwards
Загружено: 2025-06-22
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Computer: Phase-Plane Trajectories: Each of the functions in Problems 1-3 is the solution of a linear second-order differential equation with constant coefficients. In each case, do the following: (a) Determine the DE. (b) Calculate the derivative y #x27; and the initial condition y(0), y #x27;(0). (c) Plot the trajectory [y(t), y #x27;(t)] on the vector field in the yy #x27; -plane. 1. y(t) = 2e^(-t) + e^(-31) 2. y(t) = e^(-t) + e^(-81) 3. y(t) = e^t + e^(-1)
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