MATLAB

Need to define t and y before the loop/ the t=t+h statement need to be before the y= statement and in the loop just use j=1:200.

Euler's Method The Euler Method is the simplest of the numerical methods we cover, and as we saw in class is closely related to a Left Riemann Sum. The algorithm (in pseudo code) for Euler's Method is as follows: define f(t,y) input initial values to and yo input step size h and number of steps n output to and yo for j from 1 to n k1 f(t,y) t -t h end output t and y. 1. Write a script that applies Euler's Method to the initial value problem y t +4y,with y(0) lon the interval [0, 2] using a step size of h 0.01. Compare your answer to the values given in the table on p. 453. Euler's Method The Euler Method is the simplest of the numerical methods we cover, and as we saw in class is closely related to a Left Riemann Sum. The algorithm (in pseudo code) for Euler's Method is as follows: define f(t,y) input initial values to and yo input step size h and number of steps n output to and yo for j from 1 to n k1 f(t,y) t -t h end output t and y. 1. Write a script that applies Euler's Method to the initial value problem y t +4y,with y(0) lon the interval [0, 2] using a step size of h 0.01. Compare your answer to the values given in the table on p. 453