The differential equation $$\frac{{{\text{dx}}}}{{{\text{dt}}}} = \left[ {\frac{{1 - {\text{x}}}}{\tau }} \right]$$ 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. $$\frac{\tau }{2}$$
C. $$\tau $$
D. $$2\tau $$
Answer: Option D
This Question Belongs to Engineering Maths >> Numerical Methods
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Roots of the algebraic equation x3 + x2 + x + 1 = 0 are
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