Solve the following boundary value problem using finite difference method. y." = y1 Or, y:' = y2 y2' = y1 With the marginal values, y1(0) = 0, yı(1) = 9 %3D

Q: A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built…

A: Given A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be…

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A: Given differential equation isdydx=y(x+1)x3+x2-2xy(1.1)=0.5h=0.1The solution of the differential…

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Q: Find the marginal revenue function R(X) = x(19 - 0.02x) R'(x)= [

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Q: 2. The marginal cost (MC) for producing a certain article in $ is given by MC = 10 q2 + 50q 2q? + 3q…

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

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Q: 8. Consider the IVP y"" = t+y², y(0) = 1, y'(0) = 1, y"(0) = -1. Use Euler's method with step size h…

A: Given that :  IVPy"'=t+y2 ,y(0)=1,y"'(0)=1, y"(0)=1 h=.5  To Find : estimate the value of y(2)

Q: 3. Find the solution of the initial boundary value problem (IBVP) Un = Ux for -0 0 (x,0) = xsin(x),…

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Q: Q1: Solve the following boundary value problems using the finite difference method and central…

A: Given that y''-3y'+2y=0, y1=2, y2=0, h=14

Q: Find the marginal revenue function. R(x) = x(18 - 0.04x) R'(x) =D

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Q: 14. Use Euler's method with step size 0.1 to estimate y(0.4), where y(x) is the solution of the…

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Q: 11. f(x) = x² + 7x + 10 Opens up/down: Vertex: Axis of symmetry: Solution(s): y-int:

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A: In this question, we solve the differential equation using initial conditions.

Q: Approximate the solution of dy y(x + 1) dx x3 + x2 – 2x at x = 2 for the initial value problem…

A: Given the differential equation dydx=yx+1x3+x2-2x, y1.1=0.5. The step size is h=0.1. Let…

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Q: 2) Given the joint pmff(x.y): X 0 X 5 X 6 X -1 X 2 Y=-3 0.1 0.25 0 0.2 0 Y-1 0 0.1 0.05 0 0 0.1 0.05…

A: Given Joint pmf f(x,y) as shown belowThe marginal pmfs are calculated using the formulas shown below

Q: We would like to solve the following boundary value problem using the weighted residual method: d'u…

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Q: #18 & #19

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Q: Solve the second order bom boundary value problem : y"+y' +2Y=0 where y(0)s263 and y'lo) =27o.

A: We solve the given initial value problem  y"+y'+2y=0 with initial conditions  y(0)=263,y'(0)=270.

Q: 1. Given the following initial value problem over the interval from 0 to 1: dy = y+2.xe* , y(0) = 1.…

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Q: Solve the given optimization problem by using substitution. Minimize S- xy + xz + yz subject to xyz…

A: S=xy+xz+yz  =xyzz+xyzy+xyzx

Q: •1 cln(5) 1- S SmS) xy evx ´dydx r

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Q: Find the marginal revenue function. R(x) = 7x – 0.05x² R'(x) =

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Q: 6. Consider the problem u; + u²ux = 0, |x| 0 satisfying the initial condition u(x,0) = %3D 1+x2 a.…

A: The complete solutions are given below

Q: Solve the following homogenous PDE du Pu at with the nonhomogenous boundary conditions uz(0, t) = 0,…

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Q: We would like to solve the following boundary value problem using the weighted residual method: d'u…

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Q: [If the solution of the following initial value problem is y(x), find y(6)]. S 6zy' – by = 10æ,…

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Q: 1st Case A 6-ft long rod (laterally insulated) has a thermal diffusivity of 1.5 ft2/hr and initial…

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Q: 1.) Use the following methods to solve the boundary value problem: - 2- y +x = 0 dx2 with boundary…

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Q: Consider the Initial Value Problem (IVT) dy = Axy, y(0) = 1, da where A is a positive constant. The…

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Q: c) Solve the boundary value problem given as y" + = 1, with boundary conditions y'(0.5) = -0.0283,…

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Q: c) Solve the boundary value problem given as y" - with boundary conditions y (0.5) = -0.0283, y(4.5)…

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Q: Use the marginal analysis criterion covered in class to find the number of units x that produces the…

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