12 of 25 Solve for x: V3x +6 +V4x – 5 — 5 3D 3 x = – 74+42V3 x = 74 +42V3 x = 74 – 42V3 x = 74 +42V3

Q: Solve the following equations using Gauss elimination method. [Note: Work your solution in FOUR(4)…

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Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: use the Lagrangian method to solve:   U=(x+3)(y+5) given 30=3x+2y

A: Given the relation 30=3x+2y. We need to minimize the value of U = (x+3)(y+5). Substitute the value…

Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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Q: find the solution to the Cauchy-Euler equation on the interval (0,∞). In each case,m and k are…

A: Since we have to find the Cauchy-Euler equation, we will substitute y=xm which will yield…

Q: Consider the IVP: x" + 3x' +2x = 4t2; x(0) = 0, x'(0) = 0. Find the general solution. 4 6. 7 + s+1 8…

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Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: (2) Find the value of m so that y = emz is a solution for z'y"-y = 0.

A: Given that the differential equation x2y" - y = 0 has a solution of y = emx To find out the  value…

Q: B. Find the general solution of each of the following Higher Order LDE with cc 4. (D-4D³ +14D² -…

A: The given differential equation is D4-4D3+14D2-20D+9y=0

Q: 2. Determine the complete solution of xydy – (x + 2y)²dy = 0 %3D

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Q: Q1 Find the general solution of the PDE uuz + (x + u)u, = x

A: The given pde is : u ux +(x+u) uy =xComparing it with P.dudx+Q.dudy=RSo we get ,P=uQ=(x+u)R=xNow…

Q: B. Find the general solution of each of the following Higher Order LDE with cc (Dª – 4D3 + 14D² -…

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Q: yV + 2y" + y" = re=*

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Q: Find the general solution of each of the followingsystems: y'1= 3y1 − 2y2 y'2= 2y1 + 3y2

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Q: Q3. Verify that y² = x² – 3 is the particular solution to the following ivp: y' = ; y(2) = -1. %3D

A: To check whether a solution is particular solution to ivp , it must satisfy the differential…

Q: m21 is nine times as large as m z2. Find mz1. -1 is supplementary to 2.

A: m∠1=9  m∠2                                       ------(1) and  m∠1+ m∠2=180°…

Q: 4) Find the general solution of the 2nd order PDE 2и. - Зи,, +4и, 3D10 6) +** s (3x +2y) answer:

A: Given : 2nd order PDE       2uxx-3uxy+4ux=10                 --------- (1) To find : general…

Q: Use the variation of parameters to find the solution to the IVP. 0 1 et 1 X' (t) = x(t) + ,and X(0)…

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Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: Solve the following LP model (Graphical Solution):  Min z=5x1+2x2 s.t. 2x1 + 5x2 ≥ 10 4x1 - x2 ≥12…

A: the given LPP is Min Z =5x1+2x2 such that  2x1+5x2≥104x1-x2≥12x1+x2≥4 x1,x2≥0 first plot the first…

Q: Find a general solution of y"- iy'+6y= 0.

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Q: Find the general solution of the following equation valid near the origin: (1+4x²) y¹¹-8y=0…

A: Given: Let us consider the given differential equation, 1+4x2yιι-8y=0

Q: determine by inspection at least two solutions of the given first-order IV . 16. xy-  2y, y(0) …

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Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

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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

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Max z = 5xı + 7x2 s.t. X1 6 < 19 < 8 X1, X2 20 2x1 + 3x2 X1 + X2

A: Given LPP is  Max z=5x1+7x2Subject to,x1≤62x1+3x2≤19x1+x2≤8x1,x2≥0

Q: Find the general solution of each of the followingsystems: y'1= y1 + y3 y'2= 2y2 + 6y3 y'3= y2 + 3y3

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Q: Find a particular solution to y′′+16y=24sin(4t).

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Q: Find a homogeneous LDE with constant coefficients that has y=-1+3x²e* as a particular solution.

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Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: (Dª – 4D³ +14D² – 20D + 9)y = 0

A: We have to solve the problem

Q: Solve the below equations by Gaussian elimination metho- x +z = 1, 2x +y+z 0, x+y+ 2z = 1

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Q: Find the general solution of each of the followingsystems: y'1= y1 − y2 y'2= y1 + y2

A: According to the given information, it is required to find the general solution of the given system…

Q: 2. Find the general solution of y' = eY(4x – 2). %3D |

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Q: An Euler-Cauchy equation is given as x*y" +1.5xy – 0.5y=0, x(1)=5, 19 (9). 3 Solve the equation by…

A: Here, we have given that the Euler-Cauchy equation x2y''+1.5xy'-0.5y=0 and the initial conditions…

Q: determine by inspection at least two solutions of the given first-order IV . 15. y-  3y2/3, y(0) …

A: Consider the given y'=3y23 and y0=0

Q: SOLVE A SYSTE M OF LINEAR EQUATIONS LU DECOMPOSI TION METHOD USING 2x + 2y +2 : 5 1X+ 32 : 5 EX +Hy…

A: Given 2x+2y+z=5x+3z=5-x+4y=2

Q: Find the general solution of rdp – (p + /pr)dr = 0. %3D |

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Q: Find the general solution of rdp – (p + pr)dr = 0.

A: Given, The differential equation  rdp-p+prdr = 0 We have to find the general solution of the…

Q: *11. Show that the PDES xp = yq and z(xp+ yq)=2xy are compatible and hence find its solution.

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Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

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Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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Q: - 9y" = 27 %3D

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Q: Solve the following using big M and 2-phase simplex Max Z = 2X1+5X2 S.T 3X1+2X2≥6 2X1+X2≤2 X1,X2≥0

A: AS YOU ASK MULTIPLE QUESTION I ANSWERED ONLY THE 1ST BIG M METHOD     Max Z =   2 X1 + 5 X2…

Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

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Q: Solve by gauss elimination method: 15 x + y + z = 17; x + 15y + z = 17; x + y + 15z = 17

A: Consider the augmented matrix of the system.

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y"-8y=0 00…

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Q: 1 Find the general solution of x'y" +xy' -y= x+1

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