2 8. (10 points) Find the general solution to the homogeneous system of DE: | 3...
7. (10 points) Find the general solution to the homogeneous system of DE: -1 x' = Ax where A -2 = [ 21
7. (10 points) Find the general solution to the homogeneous system of DE: x' = Ax where A = [-2 21
1 -2 Find the general solution to the homogeneous system of DE: 3 2 6 x' = Ax where A = -2 1 -2
Find the general solution to the non-homogeneous system of DE: -4 X+
please help !!!! 10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a) Show that v = | 1 | and w = 1-2) are eigenvectors of A. b) Identify the defective eigenvalue of A, and find a corresponding generalized eigenvector Ax c) Write out the general solution of x 10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a)...
Find the general solution to the non-homogeneous system of DE: -4 51 3t X + -4 0 x'
Use the method of variation of parameters Find the general solution to the non-homogeneous system of DE: -4 5 X + -4 4. x'
I need to find det (lambda * x - A): The determinant for this answer is: -x^3+7x-6. How can I get this answer? 8. (10 points) Find the general solution to the homogeneous system of DE: 3 2 6 x' = Ax where A = -2 -1 -2 -4) 1 -2
sk 14. Find the general solution of the following homogeneous system (8 Puan) 3 2e5 = { ? ?]* O x=cie" [1] O X = cie? [i] O X = cie' < [1]+ x = cie [2] + czest [] + czer [3] + c2e [2] O none of these O X = cie ---°C]+[7)
14. Find the general solution of the following homogeneous system * (8 Puan) [29 X' х teze si x=ce [1] [2] =ce [1] + [2 U] X = cje! O X = ge! + Cest none of these X = cie X=3