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In the predator-prey model in Equation 50.2, let a = 1, c = 0.1, k = 1, lambda = 0.1. (By hand) Determine the equilibrium points.
Conduct an analysis of the stability of the equilibrium points and sketch the solutions (We did this in class) (MATLAB) Use MATLAB to plot the phase portrait and the direction field. (MATLAB)
Suppose the number of shark in the water are deterring tourism (surfing, scuba diving etc) and the authorities want to reduce the shark population by culling one or both the species.
How should they proceed? You can answer this by studying the behavior of the system for varying initial conditions.
Read Section 52. (MATLAB) Estimate the period of oscillation. (MATLAB) Now simulate equations 50.1.
Use b = 0.02 and the rest of the constants as above. How does the answer differ from the one above?
Use the finite difference method to calculate the temperature at the point specified since it is easier.
In a shell-and-tube heat exchanger, one fluid passes through a central tube while another fluid flows through an outer shell in the opposite direction. The purpose is to heat the fluid passing through the central tube.
Write a Matlab function to perform numerical integration of a set of evenly spaced data points using the trapezoidal rule
Write a MATLAB function [speed] = planetary (N, emesh, first, last, arm) that computes the speed of a given link in a single-stage planetary gear train.
Write a program to calculate and plot the error in the numerical estimate of the derivative.
Create the graph, which contains a piecewise function where a line exists in the first interval, a parabola in the second interval, and the sine function in the third interval.
Develop a simulation program
Create a three dimensional diagram of function.
Open a named pipe and to read data from the pipe in matlab
Write the commands that will create the matrix.
Lagrange interpolating polynomial of degree
Digital Signal Processing
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