Question

Consider the following coefficient matrix, which contains a parameter a. 11 6 (a) Determine the eigenvalues in terms of α. Supposing that α > 0, enter your answers in increasing order. Equation Editor Common Ω Matrix 自0 tania) sin(a) d a 4 secia) esia)a) costa) 邇 alal sin"(a) cos-1(a) tan-"(a)- u oo Ω Matrix cosa) tana) ,..tseela, osia, =a) Va ya lal sin-(a)(a) tan ( o sinia) sec(α) //u),dx ! 읊 cscla) (b) Find the critical value or values of α, where the qualitative nature othe phase portrait for the system changes. The roots are There is a saddle point for The equilibrium point is a stable node where

Answer 1

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