Mechanical Engineering > Gate 2024 > Geometry
In order to numerically solve the ordinary differential equation 𝑑𝑦/𝑑𝑑 = βˆ’π‘¦ for 𝑑 > 0, with an initial condition 𝑦(0) = 1, the following scheme is employed
Here, Δ𝑑 is the time step and 𝑦𝑛 = 𝑦(𝑛Δ𝑑) for 𝑛 = 0, 1, 2, …. This numerical scheme will yield a solution with non-physical oscillations for Δ𝑑 > β„Ž. The value of β„Ž is
A
1/2
B
1
C
3/2
D
2

Correct : a

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