Solution Found!
The system tx_ = Ax is analogous to the second-order Euler equation (Section 5.4)
Chapter 7, Problem 13(choose chapter or problem)
The system tx_ = Ax is analogous to the second-order Euler equation (Section 5.4). Assuming that x = tr , where is a constant vector, show that and r must satisfy (ArI) = 0 in order to obtain nontrivial solutions of the given differential equation. Referring to 13, solve the given system of equations in each of 14 through 16. Assume that t > 0. 1
Questions & Answers
QUESTION:
The system tx_ = Ax is analogous to the second-order Euler equation (Section 5.4). Assuming that x = tr , where is a constant vector, show that and r must satisfy (ArI) = 0 in order to obtain nontrivial solutions of the given differential equation. Referring to 13, solve the given system of equations in each of 14 through 16. Assume that t > 0. 1
ANSWER:Step 1 of 2
If is a solution, then it must satisfy the differential equation .