7. 20 pts. Find the general solution of the following 2 x 2 system, and express...
Express the general solution of the given system of equations in terms of real-valued functions sin 4t - cos 4t - sir 4t cos 4t sin 4t -cos 4t 4 sin 5t -cos 5 4 sin 4t cos 4t Find the solution of the given initial value problem. Describe the behavior of the solution as t 00 x, x (0) 2 -3 Enclose arguments of functions in parentheses. For example, sin (2) Do not simplify trigonometric functions of nt, where...
Suppose 7' = AT, where A is the 2 x 2 matrix below. A= (1 1 1 3 (a) Determine the eigenvalues and eigenvectors of A. (b) Express the general solution of t' = Az in terms of real valued functions. (c) Sketch the phase portrait of the system. Do not forget to label your axes.
. (a) Find the general solution to the following differential equations. Express your answer in terms of Bessel functions of the first and second kinds (just as we did in assignments, do not write the asnwers as series expansions of Bessels functions). Please explain how you arrived at your answer. (b) Please start with separation of variables and completely solve the heat flow problem. 2 Ll ot u(0, t) u(2, t)=0 = -(ま 1, 0<<1 . (a) Find the general...
Find the most general real-valued solution to the linear system of differential equations (1 point) a. Find the most general real-valued solution to the linear system of differential -5 -36 x. -5 equations x 1 CHH x1 (t) = C1 x2 (t) b. In the phase plane, this system is best described as a O source/ unstable node Osink /stable node Osaddle center point ellipses Ospiral source spiral sink none of these tsi O O O (1 point) a. Find...
(1 point) Find the most general real-valued solution to the linear system of differential equations = 1 xo t SC -1 1-t Entered Answer Preview Messages 1 t -1 1-7 (11) Neither of the solutions is correct
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 /...
-2 1 (1 point) Find the most general real-valued solution to the linear system of differential equations z' xi(t) - = C1 + C2 22(t)
-2 1 1 point) Find the most general real-valued solution to the linear system of differential equations ã' = [ 4] 2. xi(t) C1 +2 22(t) preview answers
Find the general solution of the given system. 5 -1 2 -1 0 5 x(t) = eBook Find the general solution of the given system. 5 -1 2 -1 0 5 x(t) = eBook
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...