Using Python write a 4th-order Runge-Kutta method to numerically solve the following forcedamped harmonic oscillator equationx = −2(w₁x - w²2x + Fmxcwith initial conditions x(0)= 1 and r(0)= 0. In addition, use ( = 1/10, wo = 10and w = wo for plot 1 and w = 2wn for plot 2. Note, you will be solving the equation twice,one for a driving force equal to sin wot and the second with a driving force equal to sin 2wot.h = 0.1 and 0 ≤t≤40Check for step size convergence and once achieved, plot both solutions.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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This is not a graded assignment but a part of a review I'm studying, please do not reject the question, and thank you in advance for your solution!

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