Question

(a) [0.5 points] Is it possible to have an initial value problem with a differential equation oforder 2? (b) [0.5 points] Is it possible to have a boundary value problem with a differential equation of order 1? (c) [1 point] Linear stability analysis of a numerical approach to solve a second-order differential equation gives following restrictions on the step size (A): 0<\Delta \leq 0.5 ; \quad 0<\Delta \leq 0.01 i. If A = 0.005 is selected, a stable solution will be predicted by the numerical scheme.State if True or False. ii. If A = 0.05 is selected, a stable solution will be predicted by the numerical scheme.State if True or False.

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