If you have any questions please let me know
Thank you
Please give me thumb up....
(1 point) This is the third part of a three-part problem. Consider the system of differential...
(1 point) This is the second part of a three-part problem. Consider the system of differential equations y y = = 741 +242, -4y + y2. Verify that for any constants C and c2, the functions y(t) = gest+cze3t, yz(t) = -cest – 2c2e3t, satisfy the system of differential equations. Enter c as c1 and C2 as c2. a. Find the value of each term in the equation y' = 7y1 + 2y2 in terms of the variablet. (Enter the...
Exercise 1 Consider the system of differential equations 2 x= ( _ _3.)* (1) and let x("(t) = ( - ) 2 and x2(t) = ( _)er. a) Show that x(1) and x(2) are solutions of (1). b) Show that x = cıx(1) + c2x(2) is also a solution of (1) for any constants ci and c2. c) Show that x(1) and x(2) form a fundamental set of solutions. d) Find the solution of (1) that satisfies the initial condition...
(1 point) Consider the system of higher order differential equations 2 Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the formy - P(t)y + g(t). Use the following change of variables y (t) y2(t)y'(t) 3 (t) y(t) у(t) z(t) -y2 4
(1 point) Consider the system of higher order differential equations 2 Rewrite the given system of two second order differential equations as a system of four...
Problem 6. (1 point) Find the most general real-valued solution to the linear system of differential equations & x (1) + C2
Please answer a. - e.
You are given a homogeneous system of first-order linear differential equations and two vector- valued functions, x(1) and x(2). <=(3 – )x;x") = (*), * x(2) (*)+-0) a. Show that the given functions are solutions of the given system of differential equations. b. Show that x = C1X(1) + czx(2) is also a solution of the given system for any values of cı and c2. c. Show that the given functions form a fundamental set...
Problem 1
1. Consider the third order equation 2 t²y' - 2y" -3t" Q. Write the equation above as an equivalent First order differential equations. Use x =Y , X2=4' and x3=y". system of b. express your system of equations in matrix vector form: = Alt) R + g(+)
6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which has a regular singular point at x = O. The indicial equation for x = 0 is rt with roots (in increasing order) ri- Find the indicated terms of the following series solutions of the differential equation: (a) y = x,16+ and rE x+ The closed form of solution (a) is y
6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which...
(1 point) In this exercise you will solve the initial value problem 1 +x2' (1) Let Ci and C2 be arbitrary constants. The general solution to the related homogeneous differential equation " - 4y+4y 0 is the function C2 NOTE: The order in which you enter the answers is important, that is, CJU) + Gg(x)ヂGg(x) + CN 2) The particular solution yo(x) to the differential equation y" +4ys of the form yo) -yi) u)x) and (x) = 2x (3) The...
(1 point) Consider the system of differential equations -28y1 + 14y22 -35y1 + 14y2 a. Rewrite this system as a matrix equation ý' = Aj. j' = [ ] ý b. Compute the eigenvalues of the coefficient matrix A and enter them as a comma separated list.
Section 3.4 Repeated Roots: Problem 1 Previous Problem Problem List Next Problem (1 point) Find the general solution to the homogeneous differential equation. 2 dt dt Use ci and c2 in your answer to denote arbitrary constants, and enter them as c1 and C2. y(t) - (formulas) iii help