Hand in solution to the following problem Problem: The objective is to solve the non-linear equation...
Please help me in this question using MATLAB and Calculations please by hand Problem 2 Consider the causal non-linear discrete-time system characterized b difference equation: y the following n of amplitude P (i.e If we use as input x[n] to this system (algorithim) a step functio rge after several iterations to the square root of P t implements the above recursion to compute the square n)-P uIn), then yIn] will conver roots of 25, 9, 3, and 2. How many...
1. This question concerns finding the roots of the scalar non-linear function f(x) = r2-1-sinx (1 mark) (b) Apply two iterations of the bisection method to f(x) 0 to find the positive root. (3 marks) (c) Apply two iterations of the Newton-Raphson method to find the positive root. Choose (3 marks) (d) Use the Newton-Raphson method and Matlab to find the positive root to 15 significant (3 marks) (a) Use Matlab to obtain a graph of the function that shows...
Problem 2 Consider the causal non-linear discrete-time system characterized by the following difference equation: 2y[n] yn-1]+x[n] /yn-] If we use as input x[n] to this system (algorithm) a step function of amplitude P (i.e. xIn]-P u[n]), then y[n] will converge after several iterations to the square root of P .Write a MATLAB program that implements the above recursion to compute the square . How many iterations does it take to converge to the true value starting at y[-1]-0.2? roots of...
Determine if the systems described by the following input and output equation are linear or non-linear 1) Y(n) = nX(n) .(2) Y(n) = X(n2) (3) Y(n) = X2(n) (4) Y(n) = Ax(n) + B. (5) Y(n) = ex(n)
show all steps please 5. Solve the following non-linear system of equations by substitution, elimination or graphing(accurately) if it is possible. x² + y² = 25 x - y = 1
Problem 1 (hand-calculation): The rth root of the number A can be found by solving the equation -A 0. Use secant method with a tolerance e104 to estimate the following values: (a) 161, i.e. r 3 and A 161, using6 and 1.1ro (b) y21 .75, ie. r = 4 and A = 21.75, using xo = 2 and x,-1.lzo. Problem 1 (hand-calculation): The rth root of the number A can be found by solving the equation -A 0. Use secant...
2. (a) We want to find the root x of the function f(x); that is, we need f(r) = 0 . This can be done using Newton's method, making use of the iterative formula f(xn) Show that the sequence ofiterates (%) converges quadratically if f'(x) 0 in some appropriate interval of x-values near the root χ 9 point b) We can get Newton's method to find the k-th root of some number a by making it solve the non-linear cquation...
2. (a) Suppose we have to find the root xof x); that is, we have to solve )0. Fixed-point methods do this by re-writing the equation in the form x·= g(x*) , and then using the iteration scheme : g(x) Show this converges (x-→x. as n→o) provided that K < 1 , for all x in some interval x"-a < x < x*+a ( a > 0 ) about the rootx 6 points] (b) Newton's method has the form of...
X = X, +*2+1 solve general solution of linear system of NON-hams geneous Diff Equation
1. The Duffing equation is a non-linear second-order differential equation used to model certain damped and driven oscillators. The equation is given by -ax+3x3 = cos(wt) at medt dr. where function r = r(t) is the displacement at timet, is the velocity, and is the acceleration. The parameter 8 controls the amount of damping, a controls the linear stiffness, B controls the amount of non-linearity in the restoring force, and 7 and w are the amplitude and angular frequency of...