find the equilibria of the difference equation. Moreover, use linearization to determine their stability
Find the equilibria of the difference equation. Moreover, use linearization to determine their st...
Find the equilibria of the difference equation and classify them as stable or unstable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) 7x,? x2 + 10 X0 = 1, xo = 3 X+ +1 = stable unstable Use cobwebbing to find lim x, for the given initial values. lim x, Xo 3
Consider the second order equation r" + 2.3-r2-2x = 0. (a) Put y-', and transform the second order equation into an equivalent system of first order equations for (x(t), y(t system Find al critical (equilibrium) points for the (b) For each critical point of the systern from part (a), use linearization to determine the local behaviour (if possible) and stability (if possible) of the critical point. Ski (lı ile 1",lobal phase portrait of the stem frolll pari a Dei ermine...
est f(x) = 3x? -) Find the linearization L(x) off at a = 4. ) Use the linearization to approximate 3(4.1)? c) Find 3(4.1) using a calculator d) What is the difference between the approximation and the actual value of 3(4.1)? a) The linear approximation is L(x)= b) Using the linearization, 3(4.1)2 is approximately (Type an integer or a decimal.) c) Using a calculator, 3(4.1) is (Type an integer or a decimal.) d) The difference between the approximation and the...
Question 9 Let f(x,y) = y Væety. Find the linearization of f at (1, -1). Use the linearization to approximate f(0.9, -1.1).
3. [20 pts.] (a) Find the equilibrium solutions of the equation y-υw-2)3. (b) Sketch the phase line of the equation, and determine the stability of the equilibria you found in (a). (c) How does the solution with y(0) =-1 behave as t -» +00? How does the solution with y(0) 1 behave as t - --0?
3. [20 pts.] (a) Find the equilibrium solutions of the equation y-υw-2)3. (b) Sketch the phase line of the equation, and determine the stability...
Find the linearization of f(x)=1/x^2 at x=2 and use it to approximate the value of 1/1.98^2
1. Find all the equilibria, draw the phase diagram, and classify equilibria as sources, sinks, or nodes, for the equation
1. Find all the equilibria, draw the phase diagram, and classify equilibria as sources, sinks, or nodes, for the equation
use a linearization to estimate sin(pie+1/1000) find the taylor polynomial of third degree of sin(x) centered at a=x
4. (5 pts) For f(x) = 210 a. Find the linearization of f(I) at =1 b. Use your linearization to estimate (1.003) 10
1: (a) Determine the general solution of the difference equation y[n] = 3y[n - 1] + 4y[n - 2] + x[n] + 2x[n – 1]