Question: Apply the eigenvalue method to nd a general solution of the given system. Use a computer system or graphing calculator to construct a direction eld

Apply the eigenvalue method to nd a generalApply the eigenvalue method to nd a general
Apply the eigenvalue method to nd a general solution of the given system. Use a computer system or graphing calculator to construct a direction eld and typical solution curves for the given system. x'1=7x1 5x2, X'Z =41-x1 + 3x2 What is the general solution in matrix form? ' c195'(cos4t Zsin 4t) +g e519 cos4t+ sin4t) x(t)= c1 551(2 cos4t)+c,2 251(25in4t) X X That's incorrect. cy est( cos 4t - 2 sin 4t) + C, et(2 cos 4t + sin 4t) Correct answer: C1 e 5(2 cos 4t) + C2 e 5(2 sin 4t) 1+2i 1 -2i 5t - 4 it Your answer: C1 e , 5t + 4 it + C2 2 2 OK

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