Need only a handwritten solution only (not a typed one). Consider the system of differential equationsFor this system, the smaller eigenvalue isdxdtdydt-1.6x +0.5y,2.5x - 3.6y.and the larger eigenvalue is[Note-- you may want to use the WolframAlpha widget (right click to open in a new window).Enter your functions and domain, and then click submit.]If y' = Ay is a differential equation, how would the solution curves behave?O A. The solution curves converge to different points.OB. The solution curves would race towards zero and then veer away towards infinity. (Saddle)O C. All of the solutions curves would converge towards 0. (Stable node)D. All of the solution curves would run away from 0. (Unstable node)The solution to the above differential equation with initial values ï(0) = 3, y(0) = 3 isx(t) =y(t) =

Given the system of differential equation, let ,then system can be written as…

Answered: dx dt dy dt || -1.6x + 0.5y, 2.5x -…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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dx dt dy dt || -1.6x + 0.5y, 2.5x - 3.6y.