Problem 1. [50 points] Use Python package odeint to write code for numerical solution of the following second-order equa
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Problem 1. [50 points] Use Python package odeint to write code for numerical solution of the following second-order equa
Problem 1. [50 points] Use Python package odeint to write code for numerical solution of the following second-order equation for the pendulum with gravity g and length L: x"(t) + k sin(x) = 0 with k = g/L, for initial conditions x(0) = a and x'(0) = b. [a, 20 points] Write code for general parameters a, b, k. [b, 20 points] For values a = 1, b = -0.8, and k = 1.6, plot (t, x(t)) fort € [0, 10). [c, 10 points) For the values from , find the value x(9.64).
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