Q.2// Use Two phase method to solve this mathematical model's? МахZ3 X + 3x + 4x3+ 5 S.t. 4x1+ 3x+ 2x3+xs10 wwww ュ-X;+2x,=2 X1+ x2+x3 +x,21 X1, X2, X3, X20

Q: Discuss the nature of the solutions of the equation 2x(1+x)y′′+(3+x)y′−xy=0 near the singular…

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Q: 6. Find the general solution of the system: :) *+(- sint X = -2 cost

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Q: Solve the initial value problem for the homoge- neous system of differential equations (:)- d 12 5 3…

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Q: 1. Solve Cauchy-Euler equation. r²y" – ry' + y = 2x

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Q: How might the competitive-hunter model be validated? Include adiscussion of how the various…

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Q: Use the Gauss-Seidel iterative technique to find the 3rd approximate solutions to 2x1 + x2 – 2x3 = 1…

A: we take x1=w, x2=y, x3=z So we need to solve the system  2w+y-2z=12w-3y+z=0w-y+2z=2 Starting with…

Q: 20) Solve the higher order initial-value problem y"=x+1/x;y(2) =1 and y '(2) = 0 1 7 7 1 15 + -- X-…

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Q: Solve the separable dr +rtanodo= 0, r(x)=2. equation (initial value problem)

A: givendr+rtanφdφ=0dr=-rtanφdφseparate variables1rdr=-tanφdφintegrating on both side

Q: 4+ Out X=U -3n,t Ox-2n3=6 + Yx2-2n3

A: x1+0x2+x3=4............i-3x1+0x2-2x3=6........iix1+4x2-2x3=-3............iii Now, converting given…

Q: No. 3. GAUSS-SEIDEL ITERATION APPLICATION Find the solution for x, X, and x, if a set of linear…

A: I am taking x1,y1 and z1 as x,y and z respectively to avoid confusion.

Q: yp=u1x+u2x-2 is the particular solution proposed for the nonhomogeneous Cauchy-Euler equation…

A: we have given particular solution of the given differential equation.

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y3 and y4 of the…

A: We have to solve intial value problem by Euler's method

Q: 2. Solve the system of differential equations: a = r1 + x2 + 4x3 a = 2x2 a' = 21 + x2 + 13 with…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y3 and y4 of the…

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Q: 3.Given a nonlinear equation y = 3x^3-

A: Given,       y=3x3-5.12x2+3.4x-1.9

Q: A numerical method for a particular problem is stable if The solution shrinks from one time step to…

A: A numerical method for a particular problem is said to be stable if the largest absolute error…

Q: 1. Generalize the Euler equation method to find the general solution to t°a" + 2tx' – 12x = 13t° In…

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Q: 7. Sketch a phase portrait for the system x₁ = 4x₁ + 10x2, x2 = x1 - 5x2. You should sketch several…

A: Given: System of differential equations, x1'=4x1+10x2x2'=x1-5x2 To sketch: Phase portrait and…

Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =…

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Q: 6. Use Cauchy-Euler equations solution method to solve x³y"' + xy' – y = 0 а.

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Q: 2 b. y" + y' - 2y = %3D

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Q: 6. Find the general solution of Utt2uxt3uxx = 0 and then find the solution of the initial-value…

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Q: Solve using Two Phase Method Max Z = 4x1 + 6x2 Subject to 2x1 + x2 > 4 x1 + 3x2 ≥ 4 x1 + x2 ≤ 5 and…

A: As per the question we are given an linear optimization problem and we have to use the Twl Phase…

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y,, Y2, Y3, and y4 of the…

A: Given that y'=-1-3x-2y and y(1)=5 Step size h=0.5 Compute y1, y2, y3, y4 Using Euler's method

Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point. Q2) Solve…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y3 and y4 of the…

A: Use  Euler method with step size  0.5  we compute the y values  y1,y2, y3  and  y4Given  y'=y-2x,…

Q: " Solve the initial value problem. Indicate the method used. Ⓒy' = √√1-y², y(0) = 1/√₂

A: The solution is given as

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: Solve the following problem using the two phase method. min: z = 3x1 + 4x2 -X3 Subject to 3x1 + 2x2…

A: Since there are multiple questions posted the first question is answered.Kindly re post if any…

Q: Find an example of a nonlinear equation, which is not solvable using any of the methods: separable,…

A: We have to find an example of a nonlinear equation, which is not solvable using any of the methods:…

Q: Suppose we are given y1(x) and y2(x) (with y1 # y2), which are two different solutions of a…

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Q: Find the solution of the initial value problem

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Q: If the system of differential equation has a chractristic equation 1² – 4A +4 = 0, then the general…

A: To obtain the general solution

Q: Find the solution for the initial value problem with initial condition y(0) = yo (0). 52 16 52 y = +…

A: The given differential equation is first order linear differential equation. We solve it by finding…

Q: Solve the initial value problem u̟ +3u, = 0, u(0, y) = e3" using method of separation of variables.

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Q: Q3: Solve the initial value problem by using Predictor method for two iterations: ý=y-x² +1, 0≤x≤2,…

A: Sol

Q: Q2) Solve the following LPP by Two Phase simplex method. Min Z = 10x1 +6x2+2x3 s.t -x1+x2+x3>=1…

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Q: convert the given linear differential equations to a first-order linear system. y" + 2ty' + y =…

A: The differential equation is y''+2ty'+y=cos t. Let x1=y and x2=y'. Then,  x1'=y'=x2 and x2'=y''.…

Q: A system of ordinary differential equations has general solution 3cjet + 4c2e 5c1et – 5c2e -3t #(t)…

A: solution of the given problem is below...

Q: Find the general solution of I' = -1 Discuss the type and stability of the critical point (0,0) as…

A: Given xι= a1-1ax  Let the given matrix be A=a1-1a Now we have to find eigen values first,…

Q: (2) Find the solution with initial condition (6,6).

A: This is a problem of system of differential equation.

Q: 3- Find the orthogonal trajectories of a system. x²y² – 2xya + a = 0 %3D

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Q: What are the largest steps you take to solve -4y, y(0)=1 dt (without getting an overflow!) using the…

A: (a) Given the IVP dydt=-4y, y0=1. The solution to this equation is given by yt=e-4t---1. The Forward…

Q: 1. Use the Gaussian Elimination method to solve:•1x + 2y + 3z = 14•2x + 1y + 3z = 13•2x + 3y + 1z =…

A: First we write the equations

Q: 2. Using Gauss-Seidel Method, obtain the solution to the system X1 +5x2 + 3xX3 = 30 3x1 + 7x2 + 13x3…

A: The coefficient  matrix is 1 5   33 7  1312 3-5, now this matrix is not diagonally dominant, we can…

Q: y - 3y + 3y – y = 4e* у —

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Q: Suppose we are given y1(x) and y2(x) (with y1 ≠ y2), which are two different solutions of a…

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Q: Find the equation satisfied by the squares of the singular values of the matrix associated with the…

A: Given the equations 2x+3y+z=0x-y-z=12x+y=02y+z=-2