Question: Let u(t) denote the solution to the linear ordinary differential equation Let h > 0 be fixed. Show that the sample values u(k) = u(k

Let u(t) denote the solution to the linear ordinary differential equation Let h > 0 be fixed. Show that the sample values u(k) = u(k h) satisfy a linear iterative system. What is the coefficient Î»? Compare the stability properties of the differential equation and the corresponding iterative system.

r = u, u(0) = a.

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