Mechanical Engineering > GATE 2023 > Numerical Methods
The initial value problem
dy/dt+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)
dy/dt+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)
Correct : 1
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