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
(25 PTS) 2. Find the general solution of x' = AX, where A = A = [5 -- }], x(0) = 1
2. Find a general solution of X' = AX if 3 -1 (1A A1 = 12 = 2 1 [ 1] 3 -1 (2) A= 1 Xi = 1; 12 = 13 = 2 1 (3) A = 1 Xi = 0; 12 = 13 = 5 1 (4) A= 5 -4 0 0 2 0 2 5 0 0 0 3 1 0-1 1 1 0 0 2 2 - 1 0 1 0 11 = 1; 12 =...
3. Find a general solution of the system X' = AX with 3 0 0 -3 4 (1) A (2) A = 0 2 0 (3) A 6 -5 4 0 1 -3 0 3 -5 0 5 0 0 -1 1 (4) A [1 7 4 -5 3 (5) A = 3 -5 -3 5 5 -1 3 (6) A 1 0 0 0 2 2 0 0 0 3 3 0 0 0 4 4
34) - a) A=/0 3 il 14 1-1) 27 -5 Solve X'=AX General solution) b) A=/6 6 6) Solve X'=AX 11 -5 al (General Solution)
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 )
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...
1. If A= [ 1 = [] 4]. find the general solution to dx dt Ax
1 -2 Find the general solution to the homogeneous system of DE: 3 2 6 x' = Ax where A = -2 1 -2