help with Matlab 4
MatLab 4 Assignment
Part 1
%% Lab 4 - Your Name - MAT 275 Lab
% MATLAB solvers for First-Order IVP
%% EX1
%A 6 PTS
type LAB04ex1
LAB04ex1
%B 2PTS
%do not print the entire vectors t and Y, but include a few values which
%show where maxima occur
%C 2 PTS
%[ENTER COMMENTS. Each line must have % before it]
%D 2 PTS
%create a function file "LAB04ex1d" which is a duplicate of LAB04ex1 but with
%the initial conditions for y and v changed.
%figure(1) and figure(2) also need to be
%changed to figure(3) and figure(4) (in order to plot part a and part d on separate figures).
type LAB04ex1d
LAB04ex1d
%% EX2
%A 5 PTS
%create a new mfile with the differential equation changed
type LAB04ex2
%alternatively, you can paste in only the segment of the code that you modified
%B 1 PTS
%comments
%C 1 PTS
%comments
%D 3 PTS
%unfortunately, you may have to create yet another mfile, LAB04ex2d, in
%order for the publishing to work in this case.
%NOTE: there should only be ONE output plot for the code you write in
%LAB04ex2d. The plot should superimpose solutions for y(t) from euler.m and
%ode45. Include a legend to label each solution
type LAB04ex2d
LAB04ex2d
%% EX 3 6 PTS
%NOTE: the code for this part should be very similar to what you wrote for
%EX1-A. You just need to modify the system of differential equations.
% It's OK if you get the following error message:
%"Warning: Failure at t=5.840631e+000. Unable to meet integration tolerances without
%reducing the step size below the smallest value allowed (1.421085e-014) at time t
type LAB04ex3
LAB04ex3
%Its fine if there is only be one outputted plot here (showing y(t) and v(t))
%% EX4
%A 6 PTS
%NOTE: this code should also be very similar to what you wrote for
%EX1-A and EX3
%when defining the function f at the bottom of your LAB04ex5.m file, dYdt
%now needs to be a column with THREE elements.
%LAB04ex5 should include commands which reproduce the plots shown in the
%lab4 document
type LAB04ex5
LAB04ex5
%B 2 PTS
%short comment
%C 2 PTS
%differentiate each term of L4.7 with respect to time. You will need to use
%the chain rule and product rule
%D 2 PTS
%Substitute the initial conditions of L4.8 into equation L4.7 at t=0, and
%check that the equation is satisfied. You can write this as a comment.
Part 1
%% Lab 4 - Your Name - MAT 275 Lab
% MATLAB solvers for First-Order IVP
%% EX1
%A 6 PTS
type LAB04ex1
LAB04ex1
%B 2PTS
%do not print the entire vectors t and Y, but include a few values which
%show where maxima occur
%C 2 PTS
%[ENTER COMMENTS. Each line must have % before it]
%D 2 PTS
%create a function file "LAB04ex1d" which is a duplicate of LAB04ex1 but with
%the initial conditions for y and v changed.
%figure(1) and figure(2) also need to be
%changed to figure(3) and figure(4) (in order to plot part a and part d on separate figures).
type LAB04ex1d
LAB04ex1d
%% EX2
%A 5 PTS
%create a new mfile with the differential equation changed
type LAB04ex2
%alternatively, you can paste in only the segment of the code that you modified
%B 1 PTS
%comments
%C 1 PTS
%comments
%D 3 PTS
%unfortunately, you may have to create yet another mfile, LAB04ex2d, in
%order for the publishing to work in this case.
%NOTE: there should only be ONE output plot for the code you write in
%LAB04ex2d. The plot should superimpose solutions for y(t) from euler.m and
%ode45. Include a legend to label each solution
type LAB04ex2d
LAB04ex2d
%% EX 3 6 PTS
%NOTE: the code for this part should be very similar to what you wrote for
%EX1-A. You just need to modify the system of differential equations.
% It's OK if you get the following error message:
%"Warning: Failure at t=5.840631e+000. Unable to meet integration tolerances without
%reducing the step size below the smallest value allowed (1.421085e-014) at time t
type LAB04ex3
LAB04ex3
%Its fine if there is only be one outputted plot here (showing y(t) and v(t))
%% EX4
%A 6 PTS
%NOTE: this code should also be very similar to what you wrote for
%EX1-A and EX3
%when defining the function f at the bottom of your LAB04ex5.m file, dYdt
%now needs to be a column with THREE elements.
%LAB04ex5 should include commands which reproduce the plots shown in the
%lab4 document
type LAB04ex5
LAB04ex5
%B 2 PTS
%short comment
%C 2 PTS
%differentiate each term of L4.7 with respect to time. You will need to use
%the chain rule and product rule
%D 2 PTS
%Substitute the initial conditions of L4.8 into equation L4.7 at t=0, and
%check that the equation is satisfied. You can write this as a comment.
