A mathematical model for the position x(t) of a moving object is d 2 x/dt 2 +

Question:

A mathematical model for the position x(t) of a moving object is

d²x/dt² + sin x = 0.

Use a numerical solver to graphically investigate the solutions of the equation subject to x(0) = 0, '(0) = x₁, x₁ ≥ 0. Discuss the motion of the object for t ≥ 0 and for various choices of x₁. Investigate the equation

d?x dx dr + sin x = 0 dt

in the same manner. Give a possible physical interpretation of the dx/dt term.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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Question Posted: Sep 30, 2020 06:28 AM

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A mathematical model for the position x(t) of a moving object is d 2 x/dt 2 +

Question:

d?x dx dr + sin x = 0 dt

Step by Step Answer:

To numerically solve the differential equation d2xdt2 sin x 0 subject to x0 0 x0 x1 we can use a numerical solver such as the fourthorder RungeKutta m...View the full answer

A First Course in Differential Equations with Modeling Applications

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