Backward Euler method is used to solve the initial value problem dy/dx=-8y; y(0)=1. Which one of the following is correct?

(A) For any step size h0, the method is absolute stable

Q55Section I (Objective (Q1–Q80))55 of 80

Numerical Analysis — absolute stability of backward Euler

Backward Euler method is used to solve the initial value problem $\dfrac{dy}{dx}=-8y$ ; $y(0)=1$ . Which one of the following is correct?

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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