Solve 1. (z - 4) s(3z + 2) 2. X+8(x+1) > 3(2-x)+x

Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.

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Q: 1.Solve simultaneously for x and y xy = 9 and 25x - 2y -3 =0

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Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

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Q: 3. Solve 2x²y" + xy' − 3y = 0 with the initial condition y(1) = 1 y′(1) = 4

A: This is a Cauchy Euler equation. The equation is solved by a substitution.

Q: General Solution of xdy-ydx=x2exdx is

A: We know that for the differential equation of the form  dydx + P(x) y = Q(x) the integrating factor…

Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: 2 2] 2. Solve for x, y and z. -5 6

A: We will solve the problem

Q: Obtain general solution of y' = y + y^3.

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Q: Solve the initial value problem. where A = 1.5 -2 -8 2 -2 x' = Ax, x(0) =

A: Given : x'=Ax, x0=-21.5 where A=-2-82-2 To find : solution of the initial value problem.

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: 12 of 25 Solve for x: V3x +6 +V4x – 5 — 5 3D 3 x = – 74+42V3 x = 74 +42V3 x = 74 – 42V3 x = 74 +42V3

A: Given:- √(3x+6) +√(4x-5) =3  To find:- Solve given equation for x

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A: Introduction: When a multi-variable function is to be extremize, Lagrange's multiplier method is…

Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y >…

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Q: H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

A: Please find attachment for the details solution

Q: Solve the initial value problem: --(; "). ) - (:). æ' 81 ӕ, æ(0) = x1(t) x2(t)

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Q: 2. Solve y' = 2x(x² – y), with initial condition y(0) = 1. -

A: This is first order linear differential equation

Q: Find the particular solution determined by the initial condition. P(X) = 2x ° = 3x )= -6 2/5 - 3x:…

A: This belong to initial value problem of differential equation.first we solve the differential…

Q: 19 Min Z= 2X1+3X2 S.t: X1 ≥ 125 X1+X2 ≥ 350 2X1+X2 ≤600 X1. X2 > 0 Using the simplex method, In the…

A: We have to use the simplex method to find the table of optimal solution. First we have to convert…

Q: 1. solve e3x-6e2x +11ex =6

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Q: 4. Use th shooting method to solve 2+ 1 y(0)- 1. y(2) = 1.

A: Given: The given equation is y''=y22+xy(0)=1y(2)=1

Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: 4. Is (1,5) a solution of 3x-2y S-4

A: Let's find.

Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

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Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

A: We need to evaluate the expression: (x÷y×y-x2)/(y×y-x-2/(x+3)) for x=4, y=5 using a computer algebra…

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: Solve the given initial-value problem. -2 2 X'= × - (- ~~ ) x + (²) X 3 4 2 X(t) 2t 6e-6e²t - 6 X =…

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Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: Solve the value of x in the given equation _by Jacobi and Gauss-Seidel Method. 13x2 + 4x3 = 111 4x1…

A: Given the equation system  19x1-13x2+4x3=1114x1+22x2-13x3=-1288x1+8x2+17x3=10 We have to solve the…

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

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Q: Solve for the general solution xydx - (x² +2y² ) dy = 0 x² = 4y° In(2 ) xy = 4y° In() Option 1…

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Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: The equation X2 - 19Y² = 13 has an integral solution, i.e., there is a pair hat x2 19y2= 13. (proof…

A: We have to solve given problems:

Q: determine by inspection at least two solutions of the given first-order IV . 15. y-  3y2/3, y(0) …

A: Consider the given y'=3y23 and y0=0

Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

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Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: b- Solve with naive Gauss elimination X1 + 2x2 - x3 = 2 5.x, + 2x2 + 2x3 = 9 - 3x1 + 5x2 – x3 = 1

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Q: 12. X and Y are two faucets which can fill a tank individually in 10 minutes and 20 minutes,…

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Q: Xyz = 0 12. Solve: {x+ 2z = 1 2y-z 4

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Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

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Q: 3. Two brothers decide to invest in a vacant lot which cost $51 000. The first brother contributes…

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Q: 22. Find the particular solution for he non-homogen 1st OLDE using undetermined coefficient method,…

A: Differential equation system.

Q: Use the Gauss-Seidel iterative technique to find approximate solutions to 3x_1-x_2+x_3=1,…

A: According to the given information, it is required to find the approximate solution of the given set…

Q: X-2y+3z=11 4x+2y-3z=4 3x+3y-z=4 Solve by  Gaussian elimination

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Q: How can I solve these two subtituions problem?  1- y= 3x-3 4x-2y=-2 2) 4x+3y--1    6x-5y=27

A: (1) Consider the given first equation.