(a) d.x -Зх — 2у dt dy 3x + 4y dt

Q: nd the equation of the family of orthogonal trajectories of the system of parabolas y² = 2x + c

A: follow the next step

Q: Solve the system of linear equations using CRAMER'S RULE. x + 2y + 2z = 5 3x – 2y + z = -6 2х + у —…

A: If we have a system of equations as below: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 Then the…

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: 4. Determine the solution for the system of linear equations below using any method applicable: x +…

A:

Q: Solve the system of linear equations using CRAMER'S RULE. x + 2y + 2z = 5 Зх — 2у + z %3D—6 2х + у —…

A: First write the given equation into matrix system. Now we have to determine the value of the matrix…

Q: solve the linear systems with gauss- seidel method, finding the first two iterations and using…

A: Gauss Seidal MethodLet us consider linear system of equation.a11x + a12y + a13z = a — (1)a21x + a22y…

Q: Describe all solutions of the following system of linear equations. x +y - w = 1 (x + y+ 2z +w = 1…

A: First we will put the given system to augmented matrix form and use row operations to row reduce it.…

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: Use the substitution method to find all solutions of the system of equations.

A: Consider the given equations y=x2                                         ……(1)y=x+12…

Q: Find the general solution of the system with the following equations. dr dy = -I+ 3y dt -2x + 4y and…

A: Please see the explanation below

Q: Solve the linear system by Cramer's rule method x - 3y + 7z = 13 x + y +z = 1 x- 2y + 3z = 4

A: Given, x-3y+7z =13x+y+z=1x-2y+3z=4 We have to find the value of  x, y and z  using cramer's rule…

Q: Find two linearly independent solutions of 2x²y" - xy' + (−3x + 1)y = 0, x > 0 = x¹¹ (1 + α₁x + a₂x²…

A:

Q: Use X = X + X, = eAtC + eAt * e-As F(s) ds to find the general solution of the given system. x- (:…

A: We can solve this using given information

Q: Let a be a real number, and consider the following homogeneous system of linear equations: x + y+ z…

A:

Q: Consider the linear system: dx/dt = 2x + 6y dx/dt = 2x − 2y (a) Determine the type of the…

A: The equations are: dxdt=2x+6y anddydt=2x-2y The two equations can be represented by the matrix as…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions X₁…

A: given with

Q: Consider the Following system of linear equations Ax = b. x+ 2y + 3z = 5 2x + 3y +z = 6 3x + 5y + 4z…

A: Given problem is :

Q: 2. Find the general solution of the system with the following equations. dz dy y + 2z, dr -2.x + 2z,…

A:

Q: Q3) Consider the system of linear equations below. 2.x – 2y+ 5z = 6 2.x + 3 y + z = 13 -x+4y – 4z =…

A: first we will find the LU decomposition of coefficients matrix by Gaussian Elimination method then…

Q: dY 4 2 Y. dt 2 1

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

Q: Solve the systems of linear equations over the indicated Zp . x + y = 1 y+z=O x + z = 1 over Z2

A:

Q: Q1- reduce the equation to system of first I.V.B yih -4y" + 4y" = 0, y(1) = -1, '(1) = 2, g'(1) = 0,…

A: See the details solution in below

Q: Find the solution of the given system of linear equations using CRAMER'S RULE. 2x+ 3y+2z= - 3 x+…

A:

Q: Find the general solution of the system with the following equations. dr :-12y + 6z, dt dy =1- 7y +…

A: To sole the given system of differential equation first we need to convert the given system into…

Q: Determine the values of k such that the system of linear equations has exactly one solution.x − y +…

A: Now the coefficient matrix is,

Q: Consider the system of linear equations below. 10x + 11y= 1 2x + y = 5 Compute the coordinates of…

A: Solve the following

Q: Solve for the system of linear equation using Cramer's Rule x + y – z = 0 2x – 3y + z = 1 2x + y +…

A:

Q: Solve the system using either Gaussian climinal terms of the parameterst and s.) 4x + 12y - 7z - 20w…

A: But we will reduce our system using Gaussian elimination then by putting the free variables as…

Q: Consider the system of linear equations below. 2x + 3y = 1 3x + 2y = 3 Compute the coordinates of…

A: The given equations are: 2x+3y=1...(1)3x+2y=3...(2)

Q: Consider the following system of two nonlinear equations: y = -x +x+ 0.75 y+ 5xy = x² Employ initial…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

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: 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: use Cramer's Rule to solve the given linear system 2x + y + 3z = 1   y + z =1    z = 1

A: Now the coefficient matrix is,

Q: 2. Sõlve the linear system below w +x- 4z = -2 0.5w-0.5x + 2y + 0.5z = -2 -3x + 0.5y + z = -5 4w…

A:

Q: A D 2. Classify the system of equations. Jy = 4z + 2 ly = 4x – 3 Consistent and Dependent…

A: Given query is to classify the system of equation.

Q: — 3x1 + х2 + 112х3 %3D 50 бх1 — х2 — х3 %3D 3 бх1 + 9х2 + х3 %3D 40

A:

Q: b) Solve the first order linear system given that r and y are functions of t such that a' =1+y, r(0)…

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: B. Solve the System of Linear Equations using Gaussian Elimination (Partial pivoting) 3x + 2y – 4z =…

A:

Q: Consider the linear system: 2x + 2y – 3z a %3D 2x + y - z 3x – 2y + z = C Using Cramer's Rule, solve…

A:

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

A: Given: 3x+2y=1                          ....1x+4y=1                          ....2 for solving this…

Q: Make a sketch in the xy-plane in order to determine the number of solutions to the given linear…

A: Given:- x + 4y = 8 3x + y = 3 To find:- Make a sketch in the xy-plane in order to determine the…

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

A:

Q: Find the general solution to the homogeneous system of DE: -3 x' = Ax where A = 3 15 -3 3 18

A:

Q: In Exercise ,find the best approximation to a solution of the given system of equations.

A: To find the best approximations to a solution of the given system of equations.

Q: Q1- reduce the equation to system of first I.V.B yih -tAy" + 4y" = 0, y(1) = -1, '(1) = 2, y'(1) =…

A:

Q: Solve the linearsystem by GE method x - 2y + 3z = 9 -x + 3y = -4 2х - 5у + 5z 3 17 A:{x=10,y=-2,z=1}…

A: Since, from the option that given to you, non of them satisfies given system of linear equations.

Q: Solve the following linear system of equations using Cramer's Rule x+y+z-2t=-4 x-2y+3z+4t=10…

A: