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Engineering Maths · Q15

Numerical Methods

Engineering and GATE · Engineering Maths · question 15

Q15

The differential equation dx dt = [ 1 - x ] is discretised using Euler's numerical integration method with a time step ΔT > 0. What is the maximum permissible value of ΔT to ensure stability of the solution of the corresponding discrete time equation?

The differential equation   is discretised using Euler's numerical integration method with a time step ΔT > 0. What is the maximum permissible value of ΔT to ensure stability of the solution of the corresponding discrete time equation?
A.
1
B.
C.
D.
Answer

Answer: Option D

Solution

Answer: Option D
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