A mathematical model for the position x(t) of a moving
Chapter 4, Problem 24E(choose chapter or problem)
A mathematical model for the position x(t) of a moving object is
\(\frac{d^{2} x}{d t^{2}}+\sin x=0\)
Use a numerical solver to graphically investigate the solutions of the equation subject to \(x(0)=0, x^{\prime}(0)=x_{1}\) \(x_{1} \geq 0\). Discuss the motion of the object for \(t \geq 0\) and for various choices of x1. Investigate the equation
\(\frac{d^{2} x}{d t^{2}}+\frac{d x}{d t}+\sin x=0\)
in the same manner. Give a possible physical interpretation of the dxdt term.
Text Transcription:
d^2xdt^2+sinx=0
x(0)=0,x^prime(0)=x_1
tgeq 0
d^2xdt^2+dxdt+sinx=0
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