we are given matrix as
Firstly, we will find eigenvalues
For T=8:
For T=-5:
For T=5:
now, we can find solution
.............Answer
Find the general solution of the given system of equations: 1 1 6 1 6 1...
Pls Solve 1 and 4 only!! PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the behavior of the solution as t → 00 (b) Draw a direction field and plot a few trajectories of the system. 3 -2 2 -2 2, x' = 3 -2 PROBLEMSIn each of Problems 1 through 6: (a) Find the general solution of the given system of equations and describe the behavior of...
Find the general solution of the given system of equations. 1 2 1 1 1 -1 X 8 -5 -3 x(t) =
Find the general solution of the system of equations and describe the behavior of the solution as t→∞: 1. Find the general solution of the system of equations and describe the behavior of the solution as t → 00: 2 (a) x (+1)=(x = (* =3)* (c) x' = х -1
Find the general solution of the given system using matrix way for differential equations. systems of linear differential equations.
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
Chapter 7, Section 7.8, Question 010 Find the general solution of the given system of equations. X= 6 1) X -25 16 X-C 111 + C2 111 X=1 + 2 <= [(5)2 + (). X-Cil te 111 + C2 , 11t+cal X=1 + cz[(5)*e*** (9)e XC 11t+C2 Itellt 5
1. Solve the following system of equations (find the general solution). If the system has no lution, then say so: dar dt2 dy dt =1-t dy - + 2 dt = 4et dt
Find the most general real-valued solution to the linear system of differential equations x⃗ ′=[1−34−6]x⃗ .x→′=[14−3−6]x→. ⎡⎣⎢⎢[ x1(t)x1(t) ⎤⎦⎥⎥] x2(t)x2(t) =c1=c1 ⎡⎣⎢⎢[ ⎤⎦⎥⎥] + c2+ c2 ⎡⎣⎢⎢[ ⎤⎦⎥⎥] a. Find the most general real-valued solution to the linear system of differential equations a = [_3_-4). 1 4 3 - 6 xit) = C1 + C2 22(t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point /...
In each of the following problems, find the general (real) solution of the given system of equations. -3 0 2 b) x = (1 -1 0x -2 -1 0
Given system of equations. (1) Find all eigenvalues of the matrix (2) Choose an eigenvalue and find the corresponding eigenvector. (3) Find the general solution of the given system of equations.