L 2. (15 pts) What is the general solution of x' = Ax, where A = show your work.
(25 PTS) 2. Find the general solution of x' = AX, where A = A = [5 -- }], x(0) = 1
choose any two parts and sketch the phase portraitsFind the general solution for X' = AX where A is given by:
Find the general solution of the system x' = Ax where A is the given matrix. If an initial condition is given, also find the solution that satisfies the condition. 1.1 5 2 :| -2 1 )
linear algebra question. please help me with this and show your work. (15 pts) 7. Use Cramer's rule ONLY to solve the equation Ax = b, where [2 1 47 1 1 2. A= X= , b = (3 4 3
15. Show that the stability of any solution x(1) of the nonhomogeneous equation * - Ax + f(t) is equivalent to the stability of the equilibrium solution x=0 of the homogeneous equation *= Ax.
Find the general solution. 2. Find the general solution. X' = AX A= 1 1 0 1 0 1 0 1 1 Note: X = [X1 22 23 x3]".
4. (a) (8 points) Find the general solution of x' = Ax, for A= 2. Write the solution in vector form. 1-1 -3 (b) (4 points) Using your vector solution, write a matrix solution X(t). (c) (4 points) Using the matrix solution from part (b), determine en
7. (10 points) Find the general solution to the homogeneous system of DE: x' = Ax where A = [-2 21
Please help me solve this, thanks! Find the general solution to the system x' = Ax where A is the given matrix. | -2 -2 -6 A= 0 0 6 | 0 -2 -8 b) X(t)=( X(t)= Ce 0 e) X(t)= C, e 20 +46?' -6 +2° -1 | 2 f) None of the above. Find the general solution to the system x'= Ax where A is the given matrix. 0 1 0 A= 0 0 1 | -20 16...
please show work! thank you! (15 points each) Find the general solution: (a) X = = . 3 (b) 1 za = 0 1 1 0 1 1 0 ã. 1 You can use the fact that 13 – 31 – 2 = (1 + 1)(1 – 2)