Week 3 - Solving second order ODEs

Objective: To solve the ode for a simple pendulum and simulate its motion. Problem Statement: Write a program in Python that will simulate the pendulum motion. Solution Procedure: Import the required modules.(numpy, scipy, matplotlib, and math) Define a function that returns an array dtheta_dt with the two odes. The second-order…

Objective: Obtain the thermal efficiency of the otto cycle and plot the pv diagram. Problem statement:      1. Your code should create a PV diagram     2. You should output the thermal efficiency of the engine. Solution procedure: Import the math and matplotlib libraries. Define the engine_kinematics…

AIM: To solve the second-order ode to simulate the transient motion of a simple pendulum and create an animation of its motion. GOVERNING EQUATIONS :  This equation is integrated using the ode solver to calculate the angular displacement given by `theta` Angular displacement : Angular displacement is defined…

Aim: to optimize the given stalagmite function and find the global maxima of the function. THEORY :  What is a stalagmite? Stalactite and stalagmite, elongated forms of various minerals deposited from solution by slowly dripping water. A stalactite hangs like an icicle from the ceiling or sides of a cavern. A stalagmite…

AIM: To write a function that extracts 14  coefficients to calculate enthaply,entropy,specific heat and molecular weights of all species, create and save plots for all the different species. GOVERNING EQUATIONS:  Specific Heat (Cp) : It is a material specific physical quantity,determined by amount of heat supplied…