2. (2 points) Find a general solution of the system below. 41 -2 2. (2 points) Find a general solution of the system below. 41 -2
2. (12 points) Write the ODEs as a 2 x 2 system and then find the general solution using the eigenvalues and eigenvectors of the constant (0) 9. matrix that appears in your system. Find the solution if the initial values are x(0)(0)-y(0)0 and
2. (12 points) Write the ODEs as a 2 x 2 system and then find the general solution using the eigenvalues and eigenvectors of the constant (0) 9. matrix that appears in your system. Find the...
2 8. (10 points) Find the general solution to the homogeneous system of DE: | 3 x' = Ax where A = -2 1 - 1 -2 -4.
Find the general solution of the system whose augmented matrix is given below. 2 -5 - 20 20 0 -15 15 0 Choose the correct answer below OA O B. O C. O D. The system has no solutions. x-2x2 5 5 x25x3 <x2=-5 X is free X is froo 3=5 x is free
Find the general solution of the system whose augmented matrix is given below. 2 -5 - 20 20 0 -15 15 0 Choose the correct answer...
7. (10 points) Find the general solution to the homogeneous system of DE: x' = Ax where A = [-2 21
7. (10 points) Find the general solution to the homogeneous system of DE: -1 x' = Ax where A -2 = [ 21
Find the smallest positive solution and the general
solution to the system x ≡ 1 (mod 3), x ≡ 2 (mod 5) and x ≡ 3 (mod
7).
Exercise 2 (5 points Find the smallest positive solution and the general solution to the system ΧΞ2 (mod 5) and r Ξ 3 (mod 7). 1 (mod 3),
A9.5.36 Question Help Find a general solution to the system below. -2 x(t) x'(t) = This system has a repeated eigenvalue and one linearly independent eigenvector. To find a general solution, first obtain a nontrivial solution x, (t). Then, to obtain a second linearly independent solution, try x2 (t) = te"u, + e"u2, where r is the eigenvalue of the matrix and u, is a corresponding eigenvector. Use the equation (A - rl)u, = u, to find the vector u,....
6-Find the general solution of the following system. Write the solution in matrix form. (7 Points) X - 2x + y y' = 8x - 5y
Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 2 A= -4 2 ,f(t) = -1 14 +2t - 1 Let x(t) = x (t) + X(t), where xn(t) is the general solution corresponding to the homogeneous system, 1 xp (t) is a particular solution to the nonhomogeneous system. Find xh (t) and xp(t). and 1 -2 Xh(t) = 41 2 1 1 X(t)...
1. Find the general solution to the next system of differential
equations.
2. Find the general solution of the following system of
differential equations by parametric conversion.
Y' = [2 =3] [2 – 4) (1-3 y+ 2t2 + 10+] t2 +9t +3 Sa = - 3x+y+3t ly' = 27 - 4y+et