GATE Mechanical Engineering (ME) 2023 Shift 1 Solved Paper

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Question : 50 of 65
 
Marks: +1, -0
The initial value problem
dydt+2y=0,y(0)=1
is solved numerically using the forward Euler’s method with a constant and positive time step of Δt. 
Let 𝑦𝑛 represent the numerical solution obtained after 𝑛 steps. The condition |𝑦n+1| ≤ |𝑦n| is satisfied if and only if Δt does not exceed _____________.
(Answer in integer)
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