(2āx – 2āy – 2āz). (x1 + 1)āx + (y1 – 3)āy + z,āz = v12 * d %3D 2x, - 2y, - 2z, + 8 = v12 * d → -3 + 8 = v12 * d → d = V12 |

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = 1 + xy2 - 2z2

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Q: The figure shows the graph of two perpendicular lines.Which of the following pairs of equations…

A: GRAPH

Q: 2x 3x The DE whose general solution is given by y = x²+c,e*+C2e is © y" - 5y' + 6y = 6x2 – 10x +2. |…

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Q: 1. X 8-2y (T, S) 2x+3y = 13 2. 5x-2y =-7 (C, A) X = -2y +1 3. X=-2y-2 (N, K) 2x +5y = -7 4. Y=-19-3x…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: d²z 2+ 3-2z = te-2t ; z(0) = 0 z'(0) = -2 dt2

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Q: Find a particular solution to y" + 4y + 3y = -8te". %3D Yp

A: Given differential equation is  y"+4y'+3y=-8te2t

Q: -1 4 -1 1 2 2 5 2 1 y- 3x-1 A. y = -x+3 B. Y-x+3 y - x+3 y - x-1 y- 3x-4 Oc. y--x+4 y= -4x-1 OD. y=…

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Q: y"-16y 2e*x %3D 2. y = C,e* C,e+ xex b. y = C,ex C2 N-xe* -4x Xe4x y = C,et* C,e¬4* + xe** C. -4x…

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Q: a) xn-1 = 3x, b) xn+1 = Yn-1 = Xn + 2yn¡ Yn+1 d) Xn-1 = Зх, - 3xn Yn Ул-1 — — х, + 2у, - - Xn 2y, –…

A: The system is xn-1=3xnyn-1=xn+2yn The matrix equation is…

Q: If y is a solution of y"+xy'+3y =0 then find the

A: Find y' and y'' from the equation y=∑m=0∞ amxm .                                       y'=∑m=0∞…

Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II

A:

Q: 16. X- 3y » 0 4x+*yュ5 1t. ax-3y21 -Cx +ay2-3 3o.3a*yュ5

A: (16).   The given system is: x-3y=0            .... (1)4x+8y=5          ....  (2)

Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: 3 '9-x2 3+V9-a2-y? 1 dz dy x² + y² x²+y² a C = L7I Fle,0,6) dp dộ do

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

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Q: nd the first component (x, (2) ) of second iteration of the Gauss - Seidel method for the llowing…

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Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7…

A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y…

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: B. y = Ce2x_ C. y = c,e2x (5D3 + 3D2 – 32D + 12)y = 0 A. y = c1e-2x + c2e¬0.4x + c3e3x + Cze-0.4x +…

A: The given differential equation is: (5D3+3D2-32D+12)y=0 The auxiliary equation is: 5m3+3m2-32m+12=0

Q: 28. m(x) = x -3x -4x+12 A)-3, -2, 2 B) -2, 2, 3 C) -2i, 2i, 3 D) -3,-V2, V2 poser 29. n(x) =x* +2x…

A: We find out the roots of given polynomial putting equal to 0 . Follow 2nd and 3rd step.

Q: а. у' +3у%38, у(0) %3D4 b. 1 xdx+dy= 0, y(0)=8 y c. senxdx+ ydy=0 y(0)= -2 d. y' +2xy2 = 0, y(0) = 3

A: y = -srqt(2+2cosx) is a solution of:

Q: -y': x+xy %3D 2 /y + Iny = c а. b. -2 */y- 2lny = c c. 2 X/y + 2lny = k d. -2 X/y + Iny = c X,+ 2lny…

A: Given: y'=yx+xy To Find: To solve the given differential equation.

Q: 3 x = y + z- w = 2 -x + 2y - z - w = -1 2x - y - z+ w = 4 x + 3y - 2z - 3w = 6

A: 3

Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: the general solution of yv1+x²dx + x/1+ y?dy = 0 using variable separable method. 3. Obtain X-

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Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

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Q: 2. Solve for the value of x, y, and z using Gauss-Jordan Method. 6y(2 – 2x + 5z) = 6(x – 1) – 15z 3x…

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Q: M. -5z + 11 2² - 10z + 21 Iz 61 2 dz Use any of the results in this $ (a) -12ni (b) |z| = 9 33 Book…

A: We have to solve the given problem.

Q: Find the general solution of the given system. dx/dt=3x-y dy/dt=9x-3y

A: The given system in matrix form

Q: (2r - y) dr- (r+ 4y) dy = 0 O 2y + xy-x = c O 2- 2ry - y = c %3D O - xy + 2r = c" O -x+ 2y +y = c

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Q: 3x + y + z = -2x - y x + 3y - Sz - 11 -7 A. (2, 3, t) В. (2, 3, 0) OC. (2 +t, 3 - 2t, t D. (2 - t, 3…

A: A general system of m linear equations with n unknowns can be written as {\displaystyle…

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: 5-1. y" - 4y + 4y = t³e²t, y(0) = 0, y'(0) = 0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 2 (4-х2 2 The integral LG. -(x² + y² ) dzdxdy is Vx² +y? -2 J-/4- 2 C[* dzdrdo .3 dzdrd0 2 •T/2 2 p³…

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Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

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Q: The equation 7y'" – 12 y' + y = x can be categorized as: 2. %3D Non Linear, Non Homogeneous with…

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Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

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Q: #15 using the matrix method

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Q: v - 2w + x + 2y - z = 6v +3w- 2x + 4y - 3z -v + 2w – 3x + 4y – 5z = Ev + 13w – 2x + 8y – z = -

A: Gauss Jordan Method: Gauss-Jordan Elimination is a method for finding the inverse of any invertible…

Q: The general soslution of x' = x + 2y and y' = -3x -4y is given by: a) x = 2c1e-t + c2e-2t, y =…

A:

Q: b) y = -x -1 -u) 4 = 3x +5 -ài) a) 2x +3 %3D y = 4x -) -ài, Bub ci) from il cis from ei) Sub = 4n -…

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Q: 3. yl-2y +2y = ecosx %3D

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Q: 1.8 1.6 S (3-2) (7- y²) dz dy -1.8 –1.6 using an adaptive Gauss-Legendre Quadrature method.

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Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

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Q: 4. Are y1 (x) = e*and y2(x) = x + 1 solutions of the D.E. xy" – (x + 1)y' +y = x2. Are y1(x)…

A:

Q: 1. Find y by Cramer's rule for the following linear system. x+Oy+2z=6 - 3r+4y+6z=30 -r-2y+3z=8

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Q: Consider the system below * + dž³ + kx = o Show that V(x) =(kx² + x³) is a Lyapunov function. Is the…

A:

Q: Find the Solution to Homogeneous LinearEquation: (D3-3D2-3D+1)y=0

A: Given equation is D3-3D2-3D+1y=0 find the solution of the given equation.