find the general solution using linear algebra, dont use the d-x I dont understand that.
find the general solution using linear algebra, dont use the d-x I dont understand that.
USING LINEAR ALGEBRA:
Solve the initial value problem (IVP) using linear algebra. Write the general solution and then a solution for the initial value problem. y" – 12y' + 36y = 0; y(0) = 1, y'(0) = 1
Using matrix algebra, find a general solution to the following system of equations x' = 3x - 4y and y' = 4x - 7yUsing matrix algebra, find a general solution to the following system of equations: x' = 3x - 4y y' = 4x - 7y The general solution functions are: ( use c1 and c2 as the constants and enter the elements of the eigenvectors as the lowest integer values. If one element of an eigenvector has a negative value enter the first element...
just focus on A,B,D
1. Homogeneous ODE Find a general solution of the linear non-constant coefficient, homogeneous ODE for y(x) x3y'" – 3xy" + (6 – x2)xy' – (6 – x?)y = 0 as follows. a) You are given that yı(x) = x is a solution to the above homogeneous ODE. Confirm (by substitution) that this is the case. b) Apply reduction of order to find the remaining two solutions, then state the general solution. (Hint: The substitution y2(x) =...
linear algebra:
18. (5 points) Define the linear transformation D: PPby D(p(x)) = p'w). Find the standard matrix for this linear transformation (using the standard basis for P3 and P2).
Using matrix algebra, find a general solution to the following system of equations:
Please argument all your answers and explain your arguments so i can understand better dont use advanced things im just taking linear algebra course. Let V be a vector space of finite dimension over . linear operators over V that conmute. Show that and have at least one common eigenvector We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Linear Algebra
1) For each of the following linear systems of equations I. 2x, x 3 x,-4x2 = 4 3x, +2x-5 2x, + 3x2-6x3 x 3x2 + 2x 2 -x,-4x2 + 6x3 =-1 III. 5x1 + 7x2=-5 8x1-5x2 = 3 IV, 2 a. Identify corresponding linear algebra nomenclature (4x -b) b. Calculate the inverse of the coefficient matrix (4) for each system Calculate each by hand and check your results with an alternate hand calculation or alternatively through an suitable...
Linear Algebra help needed! Would really appreciate the step by
step solution to better understand.
, V32 1) Determine if vi, v2, v3 are linearly independent 2) Please write a linear combination of vi, V2, Vs in two different ways.
Find the general solution to the system of linear differential equations X'=AX. The independent variable is t. The eigenvalues and the corresponding eigenvectors are provided for you. x1' = 12x1 - 8x2 x2 = -4X1 + 8x2 The eigenvalues are 11 = 16 and 12 = 4 . The corresponding eigenvectors are: K1 = K2= Step 1. Find the nonsingular matrix P that diagonalizes A, and find the diagonal matrix D: p = 11 Step 2. Find the general solution...
please explain how to see if linear or nonlinear. i dont
understand why its both here. thank you!
In each of Problems through 4.verjfy that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0...0) by examining the corresponding linear system, 1. dx/dt = x -y dyldt= x - 2y + x? ANSWER lincar and nonlinear saddle point, unstable