O The Solution o (4-2) P+(Z-x)=XY aLcarding Oquation method is f(X+y +2, X²+y 2²) to Lagiangus linead A None

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

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Q: Q: Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z = 1 x- y+ 5z = -2 2x + y = 3

A: The given system of equation is  3x + 2y -z =1 x - y +5z =-2 2x +y =3

Q: X1[n]= {1,-1, 1} X2[n]={2, -1,1} Find convolution using: Graphical method • Tabular Method…

A: The convolution sum:                    yn = xn * hn = ∑k=-∞∞xkhn-k

Q: X1[n]= {-1, 2,0,1} X2[n]={3,1,0, -1} Find convolution using: • Graphical method

A: given X1n=-1,2,0,1X2n=3,1,0,-1 to find the convolution 1) using graphical method yn=x1n*x2n where…

Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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Q: Q4) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z310X1+25X2…

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Q: b) Using the Lagrange multipliers method find the extreme value(s) (if it exists) of the function…

A: The given function is;  f(x,y)=4x-6y-x2-y2.

Q: (a) First find the general solution of y" – 5y + 6y = 2e* (3) by using the Undetermined Coefficient…

A: Introduction: A higher-order linear non-homogeneous differential equation has two solutions. One is…

Q: roblem 1. useGauss-Jordan elimination and determine the type of solution. y – z = 0 x – 3z = -1…

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Q: ibe the Method of Fagrange multipliers to find the extreme value of FCx,4) = xy? suyjet to the…

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Q: 3. If X is a solution of the IVP X': Х, X (0) — %3D %3D then X %3D

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Q: Q.2 Use Lagrange multipliers to find extreme values of f(x, y, z) = x* + y* +z* subject to the…

A: Given function is fx,y,z=x4+y4+z4 subject to constraint x2+y2+z2=1

Q: 15. Let z and y be positive numbers such that 2r +3y = 5 and f(r, y) = (r-3)(y+2) is optimized.…

A: We need to optimize the function f(x, y) = (x-3)(y+2) subject to the constraint 2x+3y=5

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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Q: Maximize f = 4x1+ 9x2 +5x3 subject to T1 + x3 < 80 T1 + x2 < 20 T2 + x3 < 40 %3D a1 2 0, x2 2 0, x3…

A: We have to Solve given LPP by Simplex Method.

Q: Q2/ Use the Gaussian elimination method to find v, v2, and vs of 2v, - vz + 30, = 5 -4v, - 3vz - 2v,…

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Q: Q Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z 1 x- y+5z = -2 2x + y = 3

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Q: ) solke lineaw equation using Invers Metho d using Invers matria method 2X-4+37= 2 x +34-2= 44…

A: 2x-y+3z=2x+3y-z=112x-2y+5z=3

Q: Q3: Find the solution of x.y and z by using Gramer's Rule 2x 4y = 6 x+y+z 1 5y +72 10

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Q: Q(2): Find the general solution of x³y" – 3x²y" + 6ry' – by = xª In x. %3D

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Q: Q1 : Find the solution of x, y, z by using Gramer's Rule. 3x + 2y – z = 1 x - y + 5z = -2 2x + y = 3…

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Q: Use Lagrange multipliers to solve the given optimization problem. Find the maximum value of f(x, y)…

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Q: Q/3 by limit Sycle solve the system * = -y- x – xy² ý = x- y3 – x²y

A: P(x, y) = - x3-xy2, Q(x, y) = - y3 -x2y.

Q: = 1.5 Po 2 x' + 4x? – 10 = 0, with p, =1.5 x’ + 4x – 10 = 0,

A: The given equation is, Initial solution is,  First find the best choice of equation of x. At the…

Q: 8. f (x) = x² – 6 , Po = 3 and p1 2 then by secant method p2 is

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Q: 5. Find the second solution by reduction of order method: (1- 2x? y" + 4xy' – 4y=0 y, (x)=-2x

A: Differential equation and it's solution

Q: Solve the ff by i) Gaussian Eliminahim ü.) Gauss -Jordan Elimination X - y + 22 -w =-| 2x + y - 22…

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Q: 5. Find the General and Particular solution of Зу ; у%3D 3, when x 3D 0 %3D 业

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Q: Fiind the general solution.  y3dx - x3dy = 0

A: to find the general solution of the given differential equation , we will use seperation of variable…

Q: it as a Bernoulm cquaion in the uependeht varlavic A. 0. 2x'y = y(y? + 3x). Solve by two methods.…

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Q: D Aply the alternative fum * the Gran- schaidt to find or thomar malizntion for the solution praces…

A: Given homogenous linear system  x1+x2-2x3-3x4=0x1+x2-4x3-6x4=0 Let the matrix A=11-2-311-4-6 Row…

Q: ) solke lin@ar equation using Invers Metho d -Sing matria method Invers 2X-4+37= 2 メ+34 -2 =…

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Q: •2 x² Vx3 – 1 n= 6 a. Midpoint method b. Trapezoid method c. Simpson method d. Exact method

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Q: Q2// Find the optimal point from the * :mathematical model (by Big-M methods) Max Z=150 x, +110x+…

A: We solve given LPP by Big-M Method.

Q: Al Q2/ Choose the correct By using fixed point method, which of the following formulas can use to…

A: The given equation is 3xex=1 on [0,1]. To Find: which of the following is the fixed point iteration…

Q: Q2// Find the optimal point from the :mathematical model (by Big-M methods) Max Z-150 x +110x+280 x3…

A: We can solve this using Big-M methods

Q: Complete solution of this by the method of variation of parameters. 3y''-6y'+6y=e^xsecx

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Q: -3 Show that y(x) = -9x7 is a solution to 4x²y" + 12xy' + 3y = 0 for x > 0. %3D

A: We will show in step 2.

Q: se Lagrange multipliers to find the point on the line Y2x+3hat is dosest to the point (4. 2

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Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Maximize f = 3x1 + 7x2 + 8x3 subject to 4x1 + 2x2 + 3x3 0, r3 >0 If no solutions exist enter DNE in…

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Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution…

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential…

Q: Q:Determine a solution for the pDE, and canjecture the form of the general Solution マン fnbtれてhiy h-

A: Given, homogenous Partial differential equation  uxx-4uyy+2ux+4uy=0 Substitute uxx=D2u, uyy=D'2u,…

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

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Q: 2) We consider the fixed point method where Xn+1=g(xn) = Xn+1 Verify the condition of fixed point…

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Q: Using convolution theorem, find 1 L-1 s4(s² + 16)

A: Given L-11s4(s2+16) Let F(s)=1s4 and G(s)=1s2+16

Q: stion 3 Determine the form of a particular solution y, for y"-4y' +4y 5x2-6x

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Q: Minimized f(x1, x2) = -2 X1 + x2 Subject to 3x1 + 2 x2 < 2 2x1 – 4x2 < 3 Use Simplex Method to find…

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Q: se Lagrange multipliers to solve the given optimization problem. nd the maximum value of f(x, y) =…

A: Use Lagrange multiplier

Q: Q.3// Find the optimal point from the mathematical model (by graphic methods): Max Z= 3x1 + 6x2 s.t.…

A: First We will Draw the Feasible region bounded by given constrain then by finding the value of the…

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.