Week 3 - Solving second order ODEs

1.AIM: Data analysis in python 2.OBJECTIVE: 1.Data visualization Compatibility check Basic performance calculation 3.BODY OF THE CONTENT: MAIN CODE: #This code is written in python #File parsing in python #Engine data analysis in python import math import matplotlib.pyplot as plt import numpy as np from numpy import trapz…

AIM: CURVE FITTING: 1.What does popt and pcov mean? Answer: popt – This is an array which stores the value of the coefficients of the equation. pcov—This is an 2D array. The estimated covariance of popt. The variance of estimated parameter is given by the diagonals.   2.What does np.array(temperature)…

1.AIM: A program in Python that will simulate the pendulum motion. 2.GOVERNING EQUATIONS IF ANY: `(d^2 θ)/(dt^2 )+b/m dθ/dt+g/L sinθ=0` This equation represents the motion of a damped pendulum.   3.OBJECTIVES: A programe that solves a second order differential equation. The ODE represents the…

1.AIM: Solvig an otto cycle and making plots for it. 2.GOVERNING EQUATIONS: Adiabatic compression/expansion process:  `P_1 V_1^γ= P_2 V_2^γ` Ideal gas law:              `(P_1 V_1)/T_1 = (P_2 V_2)/T_2` Efficiency of the cycle:         `η=1-…

1.AIM: A program in Octave that will simulate the pendulum motion. 2.GOVERNING EQUATIONS IF ANY: `(d^2 θ)/(dt^2 )+b/m (dθ/dt)+g/L sinθ=0` This equation represents the motion of a damped pendulum.   3.OBJECTIVES: A programe that solves a second order differential equation. The ODE represents…