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Engineering Maths · Q53

Numerical Methods

Engineering and GATE · Engineering Maths · question 53

Q53

The differential equation dx dt = 4 - x , with x(0) = 0 and the constant > 0, is to be numerically integrated using the forward Euler method with a constant integration time step T. The maximum value of T such that the numerical solution of x converges is

The differential equation   with x(0) = 0 and the constant > 0, is to be numerically integrated using the forward Euler method with a constant integration time step T. The maximum value of T such that the numerical solution of x converges is
A.
B.
C.
D.
Answer

Answer: Option D

Solution

Answer: Option D
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