An initial-boundary- value problem well- posed if: 1. it has a unique solution.

Q: 11. Solve the initial value problem y"+y=1-2step(t-1)+2step(t-2) with y(0)=y'(0) = 0. Just for fun…

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Q: Find the minimum value of q(x) = x" x subject to the condition ||x|| = 1. %3D Select one: O A. 2 -…

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Q: Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local…

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Q: Consider the primal problem Max. z = c'x, s. t. Ax <b, x 20. If the dual problem has a feasible…

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Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 80     2y − z ≥ 20 2x − y + z ≥ 40 x ≥ 0, y ≥…

A: Given,       Maximize(p)=10x+20y+15z, Subject to,              x+2y+z≤80,      2y-z≥20,2x-y+z≥40,…

Q: 02 (a) Figure Q2(a) illustrates the difference between Initial Value Problem (IVP) and Boundary…

A: To Explain: The difference between Initial value problem and boundary value problem.

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

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Q: (а) Construct the Green's function for the boundary value problem y" - 16y = 0, y(0) = 0 = y(1).

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Q: 3x + 8y ≤ 32 6x + 4y ≤ 34 x ≥ 0, y ≥ 0.

A: P=15.5 (x,y)=(5.67,0)

Q: Minimize Z = 0.2x, + 0.1x, + 0.3x, Subject to constraint 0. 5x, + 0.2x, + 0.7x, = 0.420 0. 3x, +…

A: 1) The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: , Find the minimum value of the function f(T, Y, z) = x² +y +z subject to the constraints a +…

A: To find the minimum value of the below function subject to constraints x + 4y + 6z = 2 and x + 7y +…

Q: Advanced Math A company estimates that the production cost function of x product is giving the…

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Q: 2.P=12x+19y Subject to ちx+4y>=45 2x+5y=0 3.P=zzx+26y Subject to X=10 Y=18 X,y>=0

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Q: Here is the original LP max z= 3x₁ + 2x₂ s.t. 2x1 + x2 I1+I₂ I1 and the optimal tableau: <100 ≤80…

A: An LP is given and the optimal tableau.The objective is to find:The allowable increase in constraint…

Q: (b) 4 Is 2 3.999 well condition or ill-condition_if the 7.999 y 2 true solution becomes y Vutte 4+h

A: Given system of equation

Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: An object in motion accelerates according to a a (t) = 2t - 4 m/s² Let v(t) be the be the velocity…

A: Approach to solving the question:Integration of acceleration to get the velocity. Detailed…

Q: du k Ət u with ди (0, t) = 0, du (L, t) = 0, and u(x,0) = f(x). Əx²

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Q: Q3) Determine the maximum point of the function f(x)= x(5r-x) with Fibonacci search method, if the…

A: The given function is: f(x)=x(5π-x) in the interval a,b=5,10, n=4 We have to find the maximum of the…

Q: Solve (numerically) the boundary-value problem with 4, 8, and 16 sub-intervals: y" − 4y = −4x y(0)…

A: The solution will contain homogenous as well as particular solution. For homogenous Solution;

Q: ART 2

A: The Trapezoidal method is given as , yn+1=yn+h2ftn,yn+ftn+1,yn+1. As it is known that a stiff…

Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: 4. What is the solution given the final tableau of the maximization problem? P| C у z и 0 0 1 -1 8…

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Q: Let f(x)=+*- 3 + 2x + 5 , then 2 X || _ 3 Maximum value is Choose... Minimum value is Choose... The…

A: From the given problem:   fx=x33+32x2+2x+5   Now differentiate the given function and equate it to…

Q: Minimize z = 4x + y 3y + 4x ≥ 30 5y + 4x > 40 Subject to 2y + 2x > 18 X ≥ 0 > 0 Minimum is x = y Y…

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Q: Maximize p = 12x + 8y subject to x + y ≤ 25 x     ≥ 10 −x + 2y ≥ 0 x ≥ 0, y ≥ 0.           p =…

A: Max P= 266.67 (x,y)=(16.67,8.33)

Q: Find the maximum value of the equation below subject to the constraint x +x5 = 1. %3D Q(x) = 4x; +…

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Q: 22. Solve the followings problems: a²w a²w Ət² W (0,1)=W (2,1)=0, W(x,0) = 0.05x(2-x), W, (x,0) = 0…

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Q: The function f(x)=>(x-k} attains minimum value for x, k=1 then x %3D

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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.