Logo
Home Study Material Contact Search
AI Chat FREE
  1. engineering
  2. mechanical engineering
  3. write a user-defined matlab function that uses cla

Write a user-defined MATLAB function that uses classical fourth order Runge-Kutta method to solve a first...

50.1K

Verified Solution

Question

Mechanical Engineering

Write a user-defined MATLAB function that uses classical fourthorder Runge-Kutta method to solve a first order ODE problem dydx =f(x, y) in a given interval a ? x ? b with initial condition y(a) =y0 and step size of h. For function name and arguments, use [x,y] =myrk4(f, a, b, h, y0)

Check your function to find the numerical solution fordydx=?1.2y+7e^(?0.3x) in the interval 0 ? x ? 4 with initialcondition y(0)=3. Run your program three times for h=1.0, 0.1, 0.01and plot all results along with analytical solutiony=(70/9)*e^(?0.3x)?(43/9)*e^(?1.2x) on the same figure.

Answer & Explanation Solved by verified expert
4.5 Ratings (617 Votes)
function XY myrk4fabhy0syms x yX ahbY1 y0for i1sizeX21k1    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Investors require an 8% rate of return on Levine Company's stock (i.e., rs = 8%). What is...

Finance
Q

a)            From the following sets of figures (i) Calculate the bank discount rate on each T-bill and (ii)...

Finance
Q

Identify two strategies that some bacteria may utilize to survive extreme or less than optimal environments.

Biology
Q

Dr. Lori Baker, operations manager at Nesa Electronics, prides herself on excellent assembly-line balancing. She has...

Advance Math
Q

Identify and discuss the major types of organizational structure and which one you believe is best...

General Management
Q

If the kinetic energy of a body is increased by 300 its momentum will increase...

Physics
Q

A passbook savings account has a rate of 7%. Find the effective annual yield, rounded...

Basic Math
Q

Prepaid expenses such as rent and insurance represent services that an organization has...

Accounting
Q

determine the missing amount in the basic accounting equation of the following ...

Accounting
Q

If a company had a beginning balance of $69,000 on its statement of...

Accounting
Q

Jamie is single. In 2020, she reported $108,000 of taxable income, including a long-term capital...

Accounting
Q

please solve all Required information...

Accounting