Consider the differential equation. Please just answer part e and f. = 8x - x²(a) Identify the equilibrium points(b) Determine if the equilibrium points are stable or unstable.(c) Determine the linearized equation about the equilibrium point with the largest positive value.(d) Does the linearized equation suggest that the equilibrium point is stable or unstable. Explain why.(e) If an initial condition of x(0) = 1, sketch thex(t) vs t graph.(f) Use the Euler method to determine x(t = 0.4) using a step size of At=0.20 for an initial condition x(0) = 2.0(1)

We have to sketch the graph of the differential equation

Answered: (e) If an initial condition of x(0) =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 43E

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(e) If an initial condition of x(0) = 1, sketch the x(t) vs t graph. (f) Use the Euler method to determine x(t = 0.4) using a step size of At=0.20 for an initial condition x(0)=2.0