Use the method of undetermined coefficients to determine only the form of a particular solution for the system x′(t)=Ax(t)+f(t)​, where A and f(t) are given. A is a 2x2 matrix f(t) is a 1x2 matrix A=(4,-1)                     f(t)=(te^-t)      (1,9)                             (7e^-t)

Q: 2x2 + x3 = 9 , 3x3 – x1 = – 4 , 2x1 – 4x3 – 5x2 =0 , 3x2 – 2x3 =5 put the equation team into the…

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Q: Use the inverse matrix method to solve Ax = b below X = (x, +2x, = 3 (2x, – x, = 1

A: Given that  To solve the given system by using inverse matrix method. X1+2x2=3 2x1-x2=1

Q: Show that if (x)is a solution of y'- AY where A is 2x2 matrix of real ombers then d = AÐ %3D Maximum…

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Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

Q: Given matrix A = [ 4 3 3                                 3 4 3                                 3 3…

A: Given matrix is, A=433343334 The objective is to find the determinant A290+I-1 Now, the determinant…

Q: x – 5y – z = 1 y – z = 2 x – 5z =1 1. Write the system above in Ax=b form using matrices and find…

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Q: Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. Tị + 2x2…

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Q: 2. A = 77₁b = 3 25 -1 3

A: Given, .If A=, than .

Q: Suppose A is a non-singular matrix. Using properties of the determinant, show that det(A^−1) =…

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Q: The general solution of the linear system x = Ax is et/4 X(t) = | C1 et/3 C2 Determine the constant…

A: We need to find the constant coefficient matrix A.

Q: The system x' = 4y + 10x² - 39x + 34, y' = 4xy + 3x - 14, has a critical point at (2, 1). The change…

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Q: Illustrate iterative formula of Euler’s method for systems?

A: There are various methods to solve an ordinary differential equation: (separation of variables,…

Q: For A S calculate I+tA+ 0.904837 (-2-6) X 10 -0.200334 X 1.10517 t2 The actual value of e014, to six…

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Q: Find a 2 x 2 matrix C such that C^-1 does not exist. C = 0 (C can not equal the zero matrix), and C…

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Q: Write a'= -3x+y+ln(t), y'= t'a in matrix form as 18 31 and f(t) is 181 [*] -= P(1) [*] + f(t) where…

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Q: 4. y= cje²*+c2xe²*

A: Please see the below picture for detailed solution.

Q: (4) Given a matrix X of independent variables, psudo-inverse X† is defined as (X"X)-'x" (a) If X is…

A: If a matrix is of order (mXn) then transpose of A is of order (nXm).

Q: Find A of the matrix 1- A = 2. -4 2. 1.

A: The inverse of the matrix A of order n is defined as a matrix B of order n such that AB=BA=I, where…

Q: Write the equivalent first-order system in the form of x' = Ax. Find the Coeffi- cient matrix. Also…

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Q: Bis a 4 x 3 matrix. the solutions to the equation are given by S and t x = 35+ 25,4 ary real…

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Q: A' is a 1X3 matrix. The least square solution to the equation A'x=28 is the vector x* =[1 2 3]'…

A: Given that, A' is a 1×3 matrix. A'x=28 ,x*=1 2 3'

Q: The solution of the system X'= O a. X=C1 Ob. C. O d. -3-1 17x is 1 -1 -2t ²= C₁₂( ²1 ²) 0 - ² ² +…

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Q: Find the valve of k for which the X,+2x2-3as= -2 3x, - X2 - 223=1 22, + 3x2-Sxz =K System of…

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Q: Let Enter your answers in terms of the variable t. 2e³t 8e-t -4e³t+2€¯ -6e³t+ 5e-t 3e³t 20e-t Show…

A: It is given that: P=9-415-7, x1→t=2e3t-8e-t3e3t-20e-t and x2→t=-4e3t+2e-t-6e3t+5e-t

Q: Let B=[0000]. Find a non-zero 2×2 matrix A such that A^2=B. A= ? Hint: Let �=[����] and then set…

A: The given matrix is; B=[0 0      0 0 ]A2=BFind the matrix A.

Q: x- 5y – z = 1 y -z=2 - 5z =1 1. Write the system above in Ax=b form using matrices and find the…

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Q: Apply the conjugate gradient method to solve Ax = b = ones(lOO, 1), where A is the -1, 2, -1 second…

A: As per the question we have to implement the MATLAB Code for the conjugate gradient method in order…

Q: Use the inverse A-1 1 1 to identify the solution of the linear system 1 3 382 = %3D 2 3 2 1

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Q: find linear systems (matrix) x'(t) =[ 11 - 15 6 - 7 ] x(t) classify its origin

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Q: ^ = [1 ] A If A is diagonalizable, find an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D…

A: Given that the matrix A=0-440. If the given matrix is diagonalizable , find an invertible matrix and…

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: Use the matrix methods to find the general solution of each of the follow- ing homogeneous…

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Q: 3. Solve the system by using the matrix exponential -2 3 x' = [ X 5 -1 2 x (2) = (2] 4

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Q: Use determinant to find the equation of the line that passes through the points (4, ― 3) & ( ―1,2)

A: We have to find equation of line using given information Concept required: Equation of line passing…

Q: 5. y= e²^(c,cosx+c,sinx)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.