y(k + 2) = 0.25y(k), y(0) = 0, y(1) =1 (b). Write a Matlab script that solves y(k) pointwise for k =0,1,2,…,10. Ruun the program and verify that the solution is in accordance

how can I solve this question any idea. new to Matlab.

Answer 1

[Torsten]

Initialize y(1) = 0, y(2) = 1 and use a for-loop to calculate y(k+2) starting with k = 1 and ending with k = 9.

[pirya devi]

why initialize y(1)=0 and y(2)=1?

[Torsten]

y(0) = 0, y(1) =1

And since MATLAB's array indices start at 1, not at 0, you must start with y(1) and y(2) instead of y(0) and y(1).

[John D'Errico]

@pirya devi

You ask why initialize y(1) and y(2)? The answer is MATLAB does not allow you index an array at 0. The first element of the vector y is y(1), NOT y(0). So you must offset your indices.