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The differential equation frac text dx text dt = left frac...

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Numerical Methods
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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?

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Correct Answer: Option D
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