Logo
Home Study Material Contact Search
AI Chat FREE
  1. engineering
  2. mechanical engineering
  3. y'=y-x^2 ; y(1)= -4 my matlab program won't work.

y'=y-x^2 ; y(1)= -4 My MATLAB program won't work. I am trying to get the main program to...

90.2K

Verified Solution

Question

Mechanical Engineering

y'=y-x^2 ; y(1)=-4

My MATLAB programwon't work. I am trying to get the main program to output a plot ofthe three equations (1 from the main program and two called in thefunction). The goal is to code a Euler method and a 2nd orderTaylor numerical solution for

a. x0= 1.0 , step sizeh= 0.2, # of steps n=20

b. x0= 1.0 , step sizeh=0.05 , # of steps n=80 ; write a separate functionn for f(x,y)that is called. Plot the results on the same plot as the exactsolution.

I keep getting anerror of \"Matrix Dimensions must agree ; error in Project_2(myfunction) with my Tay = ... equation (2nd order taylorequation).

Main Code

t_span = 1:0.2:5;
h=0.2;
y1 = -4;
B=(t_span.^2);
[x,y] = ode45(@(x,y) y-x^2, t_span, y1);
d=[x,y];
project_2(y1,h,d,B)

subplot(4,1,1)
plot(x,y)

xlabel('value of x')
ylabel('value of y(x)')
grid on

t_span = [1:0.05:5];
y1 = -4;
h=0.05;
[x,y]= ode45(@(x,y) y-x^2, t_span, y1);
subplot(4,1,4)
project_2(y1,h,d,B)
plot(x,y)
xlabel('value of x')
ylabel('value of y(x)')
grid on

The Function

function[outputArg,Tay] = project_2(y1,h,d,B)

outputArg = y1 + h*d; %Euler method

Tay= y1+(h*d)+((1/2)*(h^2))*((y1-2*t_span)+(-B)*d); %2nd order Taylor

subplot(4,1,2)
plot(outputArg)

subplot(4,1,3)
plot(Tay)

end

Answer & Explanation Solved by verified expert
4.3 Ratings (561 Votes)
tspan 1025h02y1 4Btspan2xy ode45xy yx2 tspan y1dxyoutputArgTay project2y1hdBtspansubplot321plotxyxlabelvalue of    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: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Which of the following would result in reduced blood volume and blood pressure? Dehydration Consumption of hard alcohol...

Medical Sciences
Q

Explain how you can solve the following problems using the QR factorization. (a) Find the vector x...

Advance Math
Q

closing entries are prepared for which of the following reasons...??? a) To get the journal ready for...

Accounting
Q

Line A is shown on the grid If there was a line that was parallel...

Geometry
Q

The college physical education department offered an advanced first aid course last summer The scores...

Statistics
Q

On December 31, 2021, Global Corporation acquired Local Company and recorded goodwill of...

Accounting
Q

Apex Fitness Club uses straight-line depreciation for a machine costing $23,860, with an estimated four-year...

Accounting
Q

Sal is a 50% owner in a seafood restaurant. He has been a material participant...

Accounting
Q

Whic h of the following accounts may appear on the unadjusted, adjusted, and post-closing trial...

Accounting
Q

value: 5.00 points Groucho, Harpo, and Chico go into partnership on January 1, 2015. Groucho...

Accounting
Q

A lottery jackpot of $5,000,000 can either be claimed as $500,000 payments at the end...

Accounting
Q

Time 0 Time 1 Time 2 Time 3 Project A - 10,000 5,000 4,000 3,000...

Finance