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Linear Algebra

Quick practice

Question 1 of 5

The O.D.E  \frac{\mathrm{d y}}{\mathrm{d x}}=-\pi \mathrm{y} subject to an initial condition y(0) = 1 if solved numerically using \frac{\mathrm{y(t n+1)-y(t n})}{\mathrm{n}}=-\pi \mathrm{y(t n)} where h is time step size tn = nh and n = 0, 1, 2, 3...

The numerical scheme is stable for all values of h in the interval _______.

A

for all h>0

B

0 < h < 2/π

C

0 < h < / 2   

D

0 < h < 1

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