Problem #1:
(a.)  Calculate the unique solution to the initial value problem using dsolve.
(b.)  Let’s pretty-up the solution by entering:
>> y=sym('(exp(2*x) - exp(2))/x')
>> z=simplify(y)
>> pretty(z)
Note that the simplify command isn’t that simple! In fact, the simple command executes a number of
Matlab commands that simplify symbolic expressions, and returns the simplest form. The pretty function
prints symbolic output in a format similar to typeset.
Problem #2: Consider an object thrown in the air obeys the initial value problem
where y is the height in meters of the object above ground level after t seconds. Use the Matlab function
dsolve to solve the linear equation and show that

Problem #3:Verify the solution to the differential equation by showing that          , using
the definition of y(t).
2 Function M-Files
By programming a function M-file, we will be able to predict the height of the ball at t = 5 and for any
value of t. Open a new function M-file in the MATALB editor, and enter
function y=height(t)
y=-(49/5)*t + (649/5)*(1 - exp(-t));
end
and save it as height.m. To find the height at t = 5 seconds, we simply enter
>> y=height(5)
Problem #4:Predict the height of the ball after 5 seconds, using a function M-file.
Note: If your search path does not include the directory that height.m is saved in, you will get an error
that says your function is undefined. You will need to add your working directory into the search path.
Writing Subfunctions. We can combine more than one function into a file, by using sub-functions.
Subfunctions are a relatively new addition to Matlab. For practice, we’ll plot the function, height, using a
subfunction. Open a new function M-file in the MATALB editor, and enter
function plotheight
close all
t = linspace(0,15,200);
y = height(t);
plot(t,y)
grid on
xlabel('time in seconds')
ylabel('height in meters')
title('Solution of y'''' = -9.8 - y'',y(0)=0,y''(0) = 120')
end
function y=height(t)
y = -(49/5)*t + (649/5) *(1 - exp(-t)); ## ASSIGNMENT in Engineering MANAGEMENT...

HI all i have assignemt in Engineering Management, i need someone who is fammiliar with it THanks... ## 27222... ## We learned effective communication is essential in...

We learned effective communication is essential in overcoming conflict, embracing our similarities and differences, and... ## Contemporary Issues in Aging W4A1-2...

Analyze and identify at least one health promotion project in your area and describe its history and role in the community. Provide recomme... ## For this weeks individual case assignment I ask th...

... ## A Day to Remember Personal Story...

A day I will always remember is the first day of middle school, which was the first day of 6th grade. I was nervous... ## sociology...

Please answer all parts of the questions. I don't need a cover page.  (1)Describe and give an example of each of the sociolo... ## attack library...

In your own words, discuss one attack library and how it is used.Respond to at least 2 other learners.... ## Mod 2 DQ 1 and Mod 2 DQ2...

... PRyC WP: Add custom content to bottom of post/page: Standard Content START Find the slope of the line t... ## Misc. Accounting Problems...

1. (Weighted average cost of capital) The target capital structure for QM Industries is 45% common stock, 7% ... ## National Patient Safety Goals PURPOSE...

Required Uniform Assignment: National Patient Safety Goals PURPOSE This exercise is designed to increase the student...
Calculate Price

When you use PaperHelp, you save one valuable — TIME

You can spend it for more important things than paper writing.

Approx. price
\$65
Order a paper. Study better. Sleep tight. Calculate Price!
Calculate Price
Approx. price
\$65