Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

MATH.2360 Engineering Differential Equations Some Useful MATLAB Commands for Symbol Manipulation Type the following command in the command window, which will open a new window

image text in transcribedimage text in transcribed

MATH.2360 Engineering Differential Equations Some Useful MATLAB Commands for Symbol Manipulation Type the following command in the command window, which will open a new window mupad notebook: called a >>mupad A. Algebra 1. MATLAB will factor polynomials. Type the following command in the mupad notebook next to the [ symbol, then hit the Enter key factor(x 4 5*x2 4) 2. MATLAB can solve single equations. Try solve (x^4-5*x^2 + 4 0) = 3. MATLAB can also solve systems of equations: solve (t2*x y-5, x + 2*y -4)) 4. MATLAB can simplify expressions. iand co(a)co) sin() Try these commands to simplify simplify(x/(2*x + 1) + 1/x) simplify ((cos (x))-3 cos (x)*(sin(x))-2. _+ - 2r+1 r B. Calculus MATLAB can find limits, derivatives, and integrals symbolically. Try the following commands to find lino sinrn. Inn e-r%PlA.JaT / dz, and dz, respectively limit(sin(x)/x, x-0) limit(exp(-x), x-infinity) diff (x 3, x) diff (x 3, x$2) int (1/(x 2+1), x) int(x/(x 2+1)~(3/2), x) OVER C. Differential Equations MATLAB can even solve differential equations symbolically. Here are some examples: 1. To solve the d.e. ay+2ry 32, type the command solve (ode (x"2*y' (x) + 2*x*y(x) -3sx"2, y(x))) You can also solve initial value problems, such as y, = y, y(1) = 1: solve (ode({y' (x) = y(x)^2, 2. y(1) -1), y(x))) 3. You can name the solution of an initial value problem, and you can even calculate the value of the solution at any r. First enter this command: y:=solve(ode ({y',(x) -y(x) = 0, y(0) = 1, and then enter this command float (yi I x-2) y, (0) 2}, y(x))) = D. Exercises (These are from the homework for section 1.5.,) I. Solve the initial value problem y, + y = 2, y(0) = 0. 2. Solve the initial value problem xy-y-x, y(1)-7

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Database Modeling And Design

Authors: Toby J. Teorey, Sam S. Lightstone, Tom Nadeau, H.V. Jagadish

5th Edition

0123820200, 978-0123820204

More Books

Students also viewed these Databases questions

Question

Distinguish between poor and good positive and neutral messages.

Answered: 1 week ago

Question

Describe the four specific guidelines for using the direct plan.

Answered: 1 week ago