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Problem 5 Find the characteristic equation and compute its roots for the following ARMA model S(k)...
can anyone answer this s Consider the differentiad eqation (a) Find the characteristic equation, determine its roots and their corresponding multiplicities (b) Find a fundamental set of solutions for the differential equation. (c) Find the general solution of the differential equation.
Q3. Rewrite the following as a quadratic equation: 22x- 6(2*) 8 0. Find its roots and then the value(s) of X. Q3. Rewrite the following as a quadratic equation: 22x- 6(2*) 8 0. Find its roots and then the value(s) of X.
A system has the characteristic equation: q(s) = s3 + 10s2 + 29s + K = 0 i. Shift the vertical axis to the right by 2 by using s = sn – 2, and determine the value of gain K so that the complex roots are s = -2 ± j.
Consider the BVP for the function y given by 21T (a) Find ri, r2, roots of the characteristic polynomial of the equation above. (b) Find a set of real-valued fundamental solutions to the differential equation above. y (x)-| 3cos(5x) y2 (x)-| 3/5cos(5x)+ksin(5x) (c) Find all solutions y of the boundary value problem. y(r)3cos(5x)+3/5sin(5x) Note 1: If there are no solutions, type No Solution. Note 2: If there are infinitely many solutions, use k for the arbitrary constant. Consider the BVP...
ts) Find three linearly independent characteristic vectors and all characteristic roots of the matrix 3 2 -3 -3 -4 9 1-1 - 5
The Cayley-Hamilton Theorem states that a matrix satisfies its characteristic equation. For example, the characteristic equation of the matrix shown below is as follows. 1-3 A = 12 - 61 + 11 = 0 and by the theorem you have A2 - 64 + 1112 = 0 2 5 Demonstrate the Cayley-Hamilton Theorem for the matrix A given below. 0 5 -1 -1 3 1 0 0 1 STEP 1: Find and expand the characteristic equation. STEP 2: Compute the...
The Cayley-Hamilton Theorem states that a matrix satisfies its characteristic equation. For example, the characteristic equation of the matrix shown below is as follows. --1:: 22 - 61 + 11 = 0 and by the theorem you have 42 - 64 + 1112 = 0 Demonstrate the Cayley-Hamilton Theorem for the matrix A given below. 03 1 A = -1 5 1 0 0 -1 STEP 1: Find and expand the characteristic equation. STEP 2: Compute the required powers of...
5. (20 pts) For the differential equation: sume the following information (you don't need to show this). e roots of the indicial equation are ri 4 and 2--2. In addition, after substituting y t and its derivatives into the differential equation and reindexing we get: Given this information, find all Frobenius solutions for x >0. Make sure you include the "nth" term in your solution(s). If a solution does not exist for an exponent, show why. 5. (20 pts) For...
Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of the characteristic polynomial of the equation above. = 11, 12 M (b) Find a set of real-valued fundamental solutions to the differential equation above. yı(t) M y2(t) M (C) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = 4, y(0) = -3. g(t) = M (10 points) Solve the initial value problem y" - 54' +...
(a) 5. Make up a differential equation that will have as the roots of its indicial equation (a) 1,4 (b) 3,3 (c) 1/2,2 (d) -1/2,1/2