Question

PLEASE PLEASE,ONLY ANSWER THIS QUESTION IF YOU COULD GIVE ME THE MATLAB CODE.THANK YOU.

dyi y = 2.5. dy Consider the following Ordinary Differential Equation (ODE) for function yı(a) on interval [0, 1] dyi dayı dyi d3 + (-3.3) * + 2.9 * + (-0.6) * yı(20) = 0.0 dar2 da with the following initial conditions at point x = 0: dayı = 8.86 = 18.248 dar dra Introducting notations dyi dy2 y2 = da da d2 convert the ODE to the system of three first-order ODEs for functions yi, y2, y3 in the form: dyi fi(x, y1, 2, y3) dar dy2 f2(2, 41, 42, 43) dac dy f3(x,yı, y2, y3) dac Apply Euler's method with h = 0.5 to solve this system numerically. Fill in the blank spaces the following table. Round up your answers to 4 decimals. Y2 Y3 0 0.5 1.0

Answer 1

`Hey,

Note: If you have any queries related to the answer please do comment. I would be very happy to resolve all your queries.

clc

clear all

close all

format long

f=@(t,y) [y(2);y(3);(3*y(1))/5 - (29*y(2))/10 + (33*y(3))/10];

[T,Y]=eulerSystem(f,[0,1],[2.5,8.86,18.248],0.5)

function [t,y]=eulerSystem(Func,Tspan,Y0,h)

t0=Tspan(1);

tf=Tspan(2);

N=(tf-t0)/h;

y=zeros(length(Y0),N+1);

y(:,1)=Y0;

t=t0:h:tf;

for i=1:N

y(:,i+1)=y(:,i)+h*Func(t(i),y(:,i));

end

end

2 - 3 4 - 5 - 6 - 7 8 9 10 11 12 13 14 - 15 16 17 - clear all close all format long f=@(t,y) [y(2);y(3);(3*y(1))/5 - (29*y(2)/10 + (33*y (3))/10); [T,Y]=eulerSystem(f, [0,1], [2.5,8.86,18.248],0.5) function [t,y]=eulerSystem (Func, Tspan, Yo, h) to=Tspan(1); tf=Tspan(2); N=(tf-to/h; y=zeros(length(Y0),N+1); y(:,1)=YO; t=t0:h:tf; for i=1:N y(:,i+1)=y(:,1)+h*Func(t(i),y(:,i)); end PP 로 end Command Window New to MATLAB? See resources for Getting Started. Y = 2.500000000000000 8.859999999999999 18.248000000000001 6.930000000000000 17.984000000000002 36.260200000000012 15.922000000000001 36.114100000000008 72.091730000000027

Kindly revert for any queries

Thanks.