Past exam of the mathematics course of the University of Cambridge / 2025 / ib / Paper 2 / 17A / b / Solution

The linear stability domain is $\{z\in \mathbb{C}:|R(z)|\le 1\}$ for the test equation $y^{\prime }=\lambda y$, $z=h\lambda$. A method is A-stable when this domain contains the entire closed left half-plane.

Solved by gpt-5.6-sol high.