Find a general solution of the system dx1 · = 4x1 – 3x2, dt dx2 = 3x1 + 4x2. dt

Q: Solve the system analytically.   2x−4y+4z =52 4x−3y−5z =−21 x−y+5z =57

A: We have to solve

Q: Use the method of substitution to solve the system.

A: To Solve: Use the method of substitution to solve: y=x2-4y=2x-1

Q: x1 – 4x2 dt dx2 4.x1 – 7x2 dt

A:

Q: Solve the system d = dt with a1 (0) = 1 and æ2(0) = -1. %3D

A: The given system of differential equation: x1'x2'=   0-1-1   0 x1x2+t0  ;        x1(0)x2(0)=1-1

Q: Solve the systems of LDE using the method of operator (D² – 3)x – 4y = 0 x+ (D² + 1)y = 0

A:

Q: x' = (C )x ´sec X + 0, 1

A:

Q: Find the general solution of the following system of equations. dx1 , dx2 2- dt +x1 + 5x2 = 4t dt…

A: Consider the provided question,

Q: Obtain the solution of the System: X' = A X + F (t) 2t Where: A = 1 -1 e and F (t) = Subject to: X…

A:

Q: Solve the systems of linear equations over the indicated Zp. x + y = 1 over Z3 y + z = 0 x + z = 1

A: The system of linear equations: x+y=1y+z=0x+z=1

Q: Find the general solution of the system of equations {dxdt= −7x − 8y {dy/dt= 10x + 11y. Use…

A:

Q: 2) By using Gramer's method to solve the system x+ 2y + 3z = 0 2x+ 3y + 8z 0 x+ 5y + 11z -0 the the…

A:

Q: Find all solutions of the given system of equations and check your answ Yx).) 0.4x + 0.1y = 0.6…

A: Solve the system of linear equations by elimination method.

Q: Find the general solution of the given system: a) dy1 = y1 + 2y2 dt dy2 4у1 + Зу2 dt

A: The matrix equation is y1'y2'=1243y1y2. Obtain the eigenvalues: 1-λ243-λ=01-λ3-λ-8=0λ2-4λ-5=0λ=-1, 5…

Q: Solve the systems of LDE using the method of operator (D2 – 3)x – 4y = 0 x + (D² + 1)y = 0

A: Given : (D²-3)x-4y=0 x+(D²+1)y=0 To find : To find x and y using D- operator method

Q: 8. X + te' X' 1

A: In the given problem ,X'=181-1X+e-ttet

Q: Find the general solution of the system -2 x(t) + dx(t) 4 dt -2 1 + 2t¬!

A:

Q: Solve the given system of linear equations by Cramer’s rule method. X-2y = 0 -x+y+z = 1 X+2y+3z = 0

A: The Cramer's Rule is used to find solutions to a system of linear equations.  Here the system of…

Q: solve th e given system x- y=1 ,2x+y =2

A:

Q: dY 4 2 Y. dt 2 1

A: First, find the eigenvalue for the matrix , A=4221 as follows.…

Q: Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan…

A:

Q: Use the Gaussian elimination method to find the solution for the given systems of linear equations:…

A:

Q: Find the solution to the system of equations using Gaussian Elimination x – 2y + z = 0 y + 2z = 0 x…

A: Given :            x - 2y + z = 0 y + 2z = 0x + y + 3z = 0 Rewrite the system in matrix form and…

Q: Now consider the case when the parameter varies slowly in time , that is consider the system…

A: The two equation in dynamical system which varies with time is…

Q: Find the general solution of the given system. 1 0 X' = 2 2 -1 X %3D AUR 0 1

A: Given system is  X'=10022-1010X

Q: Find the general solution of the following system of equations. 0. 2r - A. X= c B. X= c C. X = c D.…

A: Use the following formulae, to obtain the solution of the nonhomogeneous system X'=AX+gt. Let λ1 and…

Q: Solve the systems of linear equations over the indicated Zp. 3x + 2y = 1 over Z5 x + 4y = 1

A: Solve the systems of linear equations over the indicated Zp. 1...              3x + 2y = 1 over Z5…

Q: Solve the system 3 9 dx dt -1 -3 with æ(0) : 4 Give your solution in real form. x2

A: Given system is of the form X' =AX. We have to find eigenvalues and associated eigenvectors of the…

Q: How do I solve problems using homogeneous systems since each of the systems has (0,0,0)? like:…

A: The given system is           x+2y-8z=0-5x-11y+47z=0        x+5y-12z=0

Q: 4. Find the general solution of the given system: dx1 dt dx2 dt = = = 7x1 +4x2 -3x1-x2

A:

Q: 2)By using Gramer's method to solve the system x + 2y+ 3z = 0 %3D 2x + 3y+ 8z = 0 x + 5y+ 11z = 0 ,…

A:

Q: Find the solution for for nonlinear equation system below: F1 (x, X:) = x, + x;'e$l – 2 F2 (x1, X2)…

A:

Q: Find the solution for for nonlinear equation system below: F1 (x,, X2) = x, + x,'e$l – 2 F2 (x, X;)…

A: Given non-linear equation system isF1x1, x2=x12+x22e-5x1-2F2x1, x2=x22+x12e-7x2-1x10=3,    x20=2

Q: Find the general solution of the system dri(t) dt dr₂(t) dt 2x1 (t) + 2x2(t) + t ri(t) + 3x2(t)-2t.

A:

Q: x' = (; )x + () 1 -1 2 X(1) = -1/ 1/t/" | -

A:

Q: Find the general solution of the system dx = -x + 2y + 3z dt dy y + 6z dt dz -2z dt II

A: to find the general solution of the key one system, we will first convert the system into matrix…

Q: Find the dimension of the solution W of the system of linear equations. x+ 2y – 4z + 3r -s = 0, x +…

A: Given system of linear equations: x+2y-4z+3r-s=0x+2y-2z+4r+s=02x+4y-2z+3r+4s=0

Q: Find the general solution of the system of equations {dxdt= −5x − 8y {dy/dt= 4x + 7y. Use your…

A:

Q: 2)By using Gramer's method to solve the system x + 2y + 3z = 0 2x + 3y + 8z = 0 x + 5y + 11z = 0 ,…

A: A system of equations is given. We need to solve it by Crammers rule. The solution is explained…

Q: Solve the system of equations by Cramer's rule: 4x +3y = 2 11x + y+2z = 3 x+5y+2z =1

A:

Q: Find general solutions of the linear systems. If initial conditions are given, find the particular…

A: Given that x''-3y'-2x=0,   y''+3x'-2y=0 Rewrite the equations in the given system as two separate…

Q: x' - (; )*+()- 1 3 X + \3, %3D 1 1

A:

Q: Find your equivalent system of the equation and find the region of stability of the equation x" +…

A: The differential equation is x''+αx'+1-αx=0. Rewrite the equation: x''=-αx'-1-αx Consider x'=z and…

Q: 0 1 X'(t) = | 1 0 1 X(t). 1 1 0

A:

Q: Q1: Find the general solution of the given the system dx, = dt -6x, + 5x2 dx2 = -5x, + 4x2 dt

A:

Q: 2. Solve the non-linear system x²x+y = 0.5 and ² - 5xy - y = 0 using initial values x0 = 1 and y0 =…

A:

Q: Find the Solution to Homogeneous LinearEquation: (D3-3D2-3D+1)y=0

A: Given equation is D3-3D2-3D+1y=0 find the solution of the given equation.

Q: Use the method of substitution to solve the system.

A: Let;        x+2y=1    .........12y-z=4    .........2xyz=0        ...........3 From (1)…

Q: Use the variation of parameters formula to find a general solution of the system x'(t):

A: Given,        A=17137, f(t)=5-5