using the Variation of Parameters method the particular solution is:

Q: Relaxation Method P3 > 3X, – 2X2 – 9X3 = 5 • 5X, + 1X2 – 3X3 = 2 22 3X1 + 7X2 – 3X3 = 13

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Q: optimal solution point:

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Q: Example: Use quadratic interpolation with three points method to find the position of the minimizer…

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Q: Methods

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Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

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: Integrating Factor by Inspection b)y²(xdx + ydy) + (x² + y²)(ydx – xdy) = 0

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Q: Chain rule y= 1/(2x + 5)3

A: Using chain rule we have to evaluate the derivative of the following -  y = 1(2x+5)3

Q: Minimize (₁-4)²+(₂-3)² Solve this problem using Gradient Descend Method where the initial point is…

A: Given : problem       Minimize      fx1, x2=x1-42+x2-32 with initial point 2, 2, step size 0.4 and…

Q: 2ydx = 3xdy; when x = 2,y = –1 %3D

A: Consider the given differential equation 2ydx=3xdy ; when x=2 , y=-1 Use separation of the variable…

Q: Slne che Disferential Equateos: =x² -x+\ method of wndetermined Eocffidento. byuaing the

A: The given problem is to solve the given linear non homogeneous differential equation using the…

Q: Using integration by parts technique, 8x e8 dx = -8x e- + 8e-ª + C 8x e- + 8e- + C ,8x + C 8 x e°t +…

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Q: y" + 9y = fe +6

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Q: Reverse integration

A: Consider the integration

Q: The rate of photosynthesis R(x) for a certain plant depends of the intensity of light where x is in…

A: R(x)=75x-0.30x2 for maximum rate dR/dx=0 on differentiating and equating to zero 75-(0.3/3)x=0 x=750

Q: indeterminate coefficient method x^2y´´+2xy´-2y=x^2      y(1)=0      y´(1)=1/2

A: We have to find the solution for the differential equation…

Q: Explain the "Forward elimination and backward substitution" method to solve simultaneous linear…

A: Since you have posted multiple questions, but according to guidelines we will solve first question…

Q: A car has 12,500 miles on its odometer. Say the car is driven anaverage of 40 miles per day. Choose…

A: GivenCar has 12,500 miles on its odometer.Car driven averagely=40 miles /day.N is the number of…

Q: 10. Urban gardening A vegetable garden 50 ft wide is to be grown between two buildings, which are…

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Q: A carpenter needs to cut a board 99 meters long to create the backboard for a bookshelf. He has…

A: Solution : We have to find out the maximum and minimum length of a board with the given tolerance…

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…

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Q: A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental…

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Q: finid the Geneal solution EX- Sm x

A: Please see the explanation below

Q: Solue by Gauss Seidel Method 2xi+ OX2 + X3=4 -3x1+4x2- 2X3= -3 Xi+oX2-5X3=6 %3D %3D

A: Total Equations are 32x-0y+z=4-3x+4y-2z=-3x-0y-5z=6From the above…

Q: The bisection method of finding roots of nonlinear equations falls under the category of a (an)…

A: The bisection method is a bracketing method since it is based on finding the root between two…

Q: A plant produces and sells semiconductor devices. The cost per one unit (also known as the unit…

A: Consider is the income from the sale of units manufactured during a month.

Q: Wutz UpDogs chose a particular football stadium to test market a new jumbo hot dog. It was found…

A: Given that x denotes the number of hot dogs sold during one game in thousands and p denotes the…

Q: y" + 2y' + y = 2e

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Q: The False-Position method of finding roots of nonlinear equations falls under the category of a (an)…

A: We have to find the correct option from the given options.

Q: You have decided to build a fish tank to keep piranhas. The rectangular base and four sides will be…

A: Given:-  The rectangular base and four sides will be made of shatterproof glass costing R800 per…

Q: 2) When we cough, the trachea (windpipe) contracts to increase the velocity of the air going ou The…

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Q: For the heat resistance of a material, it must be made in a certain thickness. So tolerated As the…

A: The least squares estimate, Y^=a+bXwhere a=intercept of Y            b=slope of the line           Y…

Q: Y"'-y"+y'-y=xe^x-xe^-x+7 by using  Variation of parameters  methode

A: first, we will find the values of y1 and y2 by equating the equation equal to 0 we get…

Q: 1. Find the general solution. Indicate which method you are using. Show the details of your work. y'…

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Q: 2. Design the optimal cylindrical container that is open at one end and has walls of negligible…

A: Consider the given diagram, The the area of the cylinder will be, A=πr2+2πrh The volume of the…

Q: 1) 2xyy' = 1 +y²; when x = 2, y = 3 2) xyy' = 1+y²;when x = 2, y = 3 %3D

A: To Determine:  using separation of variable method find the particular solution satisfying the…

Q: 1. By using your own words, describe briefly on the three numerical methods that used to find the…

A: To briefly describe three numerical methods that are used to find the roots of nonlinear equations…

Q: For the heat resistance of a material, it must be made in a certain thickness. So tolerated As the…

A: Regression Model:               It is an equation that describes the relationship between the…

Q: x1 + x2 − x3 = −3 6x1 + 2x2 + 2x3 = 2 − 3x1 + 4x2 + x3 = 1 Please answer using Gauss Jordan…

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Q: A car service station services an average of 8 cars per day. The service station has a design…

A: Data Given: Car Services: 8 cars per day Design Capacity: 12 cars per day Effective Capacity: 10…

Q: Linear Methods

A: Given, x1x2˙=-37-563045x1x2+e4t26-19 i.e.  x1˙=-37x1-56x2+26e4tx2˙=30x1+45x2-19e4t Given the…

Q: orth0gonal trajectories y^2=4x^2(1-kx)

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Q: If variation of parameters method is used when solving the equation y" then what is the v3 (x) of…

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Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

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Q: Rung-kutta method yl=y Luse to Solve

A: To solve the given differential equation by Runge Kutta Method first we will find the values of k1,…

Q: Simplex Method Maximize: P = 3x + 4y subject to: x+y s4 2x + y ≤ 5 x 20, y 20 1. Find the values of…

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Q: eone explain the formulas needed and what variables go where?   445 randomly selected bulbs were…

A: The sample proportion of the sample of size n can be defined as: p^=xn Here, x = Total number of…