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Hey everyone I need to construct a matlab program that implements the fourth ord

ID: 2971013 • Letter: H

Question

Hey everyone I need to construct a matlab program that implements the fourth order Runge-kutta

it should be able to implement the fourth order runge-kutta for ivps of the form

y^1=f(y,t)

y(t0)=y0

It should have a data function at the end of the .m file that allows users to input values for

f(y,t),t0,y0,N and h, h being step size and N the number of steps to reach endpoint

the program should output the approximations of y(ti)(i.e.{w0,w1...wn})

should also include a graphical approximation to the solution.

the program should be coded with

y^1=2/t*y+t^2e^t

y(1)=0

h=.1

N=10


*dont think its a long code, but Im matlab challenged

Explanation / Answer

Hey everyone I need to construct a matlab program that implements the fourth ord