Differential Equations and The - Braun, Martin 7579 · Problem 2.12.11

Introduction to Applied Nonlinear Dynamical Systems and Chaos — Braun, Martin 7579

Mathematics — Calculus · piecewise-ode-judicious-guessing

Problem

Solve the initial-value problem of Example 4 by the method of judicious guessing. Hint: Find the general solution of the differential equation in each of the intervals 0<t<10<t<1, 1<t<21<t<2, 2<t<32<t<3, 3<t<43<t<4, 4<t<54<t<5, 5<t<∞5<t<\infty, and choose the arbitrary constants so that y(t)y(t) and y′(t)y'(t) are continuous at the points t=1,2,3,4t=1, 2, 3, 4, and 55.

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