1. Мaximize p = 2x + y subject to х + 2у < 6 — х y s 4 х + y s 4 x2 0, у2 0.

Q: 19. Minimize C = 3x + 5y subject to 3x + y 27 x + 2y 2 4 x, y 2 0

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Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: 9 Graphically determine two optimal solutions to the following LP: min z = 3x1 + 5x2 3x1 + 2x2 > 36…

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Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

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Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

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Q: y = Vs2 - {-8<r<8} y = V² -x? {0.509 <y <7} y = V 62 - x? {1.046 <y< 6} V5 -x² {1.638 <y<5} -10 10…

A: Note: As per Bartleby's guidelines, for more than four questions asked in the subparts, only three…

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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Q: Consider the following problem; max(x? + 2y) s. to 5- x2-y² >0 and y 2 0

A: Consider the given function. fx,y=x2+2y and x2+y2≤5. Use the Lagrange Multipliers to calculate the…

Q: П. Solve xау + (3х 2y)ax = U in two ways

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Q: : Discuss the existence and unique solution for the IVP y'= 3y3, y (0)=0

A: This question is related to Differential Equations

Q: 5. Solve the following maximization problem U (x, y) = x³ +24y max {x,y} s.t. x + 2y = 10 where x 20…

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Q: 1. Suppose U(x, y) = xy + x + 2y, and the budget is described by 2x + y = m, solve for x* and y*.

A: The solution of the problem is given in the next steps.

Q: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

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Q: Write down (without solving) the dual LP problem. Minimize c =s+6t+u 9s -t+v23,000 u- v 21,000…

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Q: 7. Minimize C=5x+2y x+3 y215 Subject to 2 x+ y2 20 x, y20

A: Find the attachment

Q: 2- a sva²-z² sa²-y"-" zdxdydz a>0 zdxdydz a > 0 0,

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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: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

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Q: Find the general solution of: az əz 2, дх ду (1+ /z- x – y)

A: The given equation can be written as: 1+z−x−y∂z∂x+∂z∂y=2dx1+z−x−y=dy1=dz2          ......i

Q: Max Z=5X1+2X2 S.T. 2X1+5X2 <10 4X1 - X2 s 12 X1+X2 < 4 X1,X2 2 0 Optimal solution is X1=3, X23D0 Z=…

A: We will solve yhis problem by using graphical method. First draw the given regions in the graph.…

Q: Find the optimal solution of the following problem. Min Ex+ 11Y s.t ex+ 3Y 2 27 7x+ 6Y 2 42 4x+ BY 2…

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Q: 2 Find the optimal solution to the following madhah problem max z Ax +B x2 A=6 s.t. 2x, + 4x2 s 12,…

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Q: 7. The solution z = (x, y) to the equation in Problem 6 is A. /1 (12.+ 1/3) 2 √3 B. (-12. ± 12³) +…

A: Given z2 + z + 1 = 0

Q: 17. Solve the IVP: y" + 2yv)² = 0, y(1) = 1, y'(1) = | 1/2. Describe the procedure thoroughly and…

A: The given IVP is d2ydx2+2ydydx2=0, y(1)=1, y'(1)=-12. This can be solved as follows: Let p=dydx…

Q: Find an actual explicit solution to y'=t/y,y(2)=- O y(t) = -(t^2 - 3)^1/2 O y(t) = -(t^2 - 3) O y(t)…

A: Given query is to find the solution for the differential equation.

Q: 3. Let u(x, t) be the solution to 5ætu, – ut = 0, u(x,0) = 3x², x > 0 - obtained using the method of…

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Q: 2. 2. 2. 2. is it Linear tsenstormetion? Li L (U+v). LLu) +L(V). LkU). k L (U).

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Q: What is the output of this circuit?

A: To find: 1) Output of the circuit if x=1 and z=1.              2) Value of y if the circuit returns…

Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: 12 HoW. Find the general solution of each of the Rollowing PDE :- O x (y-u*)4 =u (x y²) +ylu²-x²) Jy…

A: Working Rule to solve Pp +Qq =R :Step 1: Write the equation as Pp +Qq =R and find P ,Q, R by…

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0 %3D

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Q: 2. Consider the following boundary-value problem: y" = 2x"y + ry +2, 1<r <4. Taking h = 1, set up…

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Q: 18. Maximize P = 4x – y subject to 2x – 3y 2 -6 2x + y < 6 x + 3y 2 3

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Q: 5. What is the particular solution of " 2xyn = 1+y, when a 2, y = 3 y = V5x – 1 y = V3x + 2 O Option…

A: If (x,y) is a solution point of a differential equation, then the solution point must satisfy the…

Q: 10. Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

A: To find the particular solution of given differential equation :-

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: *-2x-3 y = X+4 VA -4 SA @ _Y = X-6 HA@ NOne Holes @_1one X - 6Ła1 ox -3 lex-24 ,21 Holes @_lOne…

A: Given 1 y=x2-2x-8x+22 y=-5x22x2-183 y=1-7x216x2+164 y=4x4x3-275 y=2x2x4-816 y=x2-2x-3x+47…

Q: 6. What is the general solution of * (x² + 2xy – 4y²)dæ - (2? – 8ay – 4y)dy = 0 a? – 4y = c(x - y)…

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)n³ 3Inx = 2lny %3D Then x, is

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Q: 19. Show that if y1 is a solution of y′′′+p1(t)y′′+p2(t)y′+p3(t)y=0,y‴+p1ty″+p2ty′+p3ty=0, then…

A: Let y1 be a solution of y′′′+p1(t)y′′+p2(t)y′+p3(t)y=0. Then we have, y1′′′+p1 (t) y1′′+p2(t)…

Q: 3. Maximize p = x - y subject to 5x · 5y s 20 2х 10y s 40 x 2 0, y > 0. ANSWER ! p= 4; x = 4, y = 0

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Q: 6.4 1Maximize p = 6x + 4y subject to x + 3y ≥ 6 −x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0. p= (x, y)=

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Q: 2.40 Solve the following problem for x (t) and y(t): x = -2x + 5y y = -6y - 4x + 10us (1) x(0)=5…

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Q: 1. Solve by using Gauss-Jordan Elimination. CALCULATOR IS NOT ALLOWED. (2x +y+2z = 10 x + 2y + z = 8…

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Q: Find out the optimum solution of the following LPP Max Z= 2X + 5Y

A: Given LPP is Max. Z= 2X + 5Y                                                         subject to…

Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

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Q: Consider the following problem; max(x? + 2y) s. to 5-x2- y² 20 and y 2 0

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