Needed to be solved Both parts correctly in 10 minutes and get the thumbs up please show neat and clean work for it Consider the following initial value problem= [14] x x(0) = [²],dt7dxx₁ (t)where x =x₂(t)(a) Calculate the matrices B and G of the real canonical formx = Gy,(b) Sketch the phase portrait on the (y₁, y2) plane, displaying thetypical orbits and directions.dydt=By.

Given, that an IVP dxdt=1447x, x(0)=21where x=x1(t)x2(t) Given, x=Gy and y'=By We need to calculate…

Answered: Consider the following initial value…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 10RE

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Consider the following initial value problem 2 x(0) = [ ² ], where x = 1. dx dt 81. (a) Calculate the matrices B and G of the real canonical form = x₁(t) x₂(t) [14] x. X, 47 dy dt x = Gy, (b) Sketch the phase portrait on the (y₁, y2) plane, displaying the typical orbits and directions. = By.