Consider The System Of Differential Equations 3 01 22 Where And Any Are Functions Of T Our Goal Is To Find The Gene 1 (20.67 KiB) Viewed 59 times
Consider The System Of Differential Equations 3 01 22 Where And Any Are Functions Of T Our Goal Is To Find The Gene 2 (18.44 KiB) Viewed 59 times
Consider the system of differential equations 3/₂ 01 +22₂ where and any are functions of t. Our goal is to find the general solution of this system. a) This system can be written using matrices as X AX, where X is in R² and the matrix A is A= ab sin (a) D Dr sin (a) ∞ 0 8 Dz. n Eigenvalues: Give an eigenvector associated to the smallest eigenvalue. Answer: 31+02 b) Find the eigenvalues and eigenvectors of the matrix A associated to the system of linear differential equations. List the eigenvalues separated by semicolons A B . E
Give an eigenvector associated to the largest eigenvalue. Answer: b sin (a) and 8 Dr f 8 c) The general solution of the system of linear differential equations is of the form X=c₁ X1 +0₂X2, where cand o are constants, and X1 ⠀⠀⠀ 8 M 8 a 0 a a C N E E PO O 650
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