Find the value of v, w, x, y, and z v – 2w + x + 2y – z = -52 6v + 3w – 2x + 4y – 3z = 57 %3D -v + 2w – 3x + 4y – 5z = -365 8v + 13w – 2x + 8y – z = -459 11v + 12w – 13x + 14y – 15z = -526

Q: Let y (x) be the solution of the IVP xy' -3y =x4, y(1)=2 Evaluate y(7).

A: We will rearrange the given differential equation and find a general solution of the given equation…

Q: y" + v' + v = xe* + e=*(1 + 2x

A:

Q: Given: x³y - 3x2y" + 6xy' - 12y = 2x + Inx, write the transformed equation in z. A. (D³-6D2 +…

A: Let's transform equation in z.

Q: Determine the particular solution. 4y" – 2y' – 2y = 0; v(0) = 2, v'(0) = 1 Oy- 2ew2 3 Oy- dew2) Oy-…

A:

Q: E = {(x,y, z) E R³ |z² + y³ < z< 12 – 2x² – 2y²}. %3D

A:

Q: df If f(x,y,z) = In(x² – y²z+ yz³) then find Əz 3yz? + y? (x² - y²z + yz³) 3yz? - y? (x² – y²z +…

A: The equation is fx, y, z=lnx2-y2z+yz3.

Q: following is sol

A: Which of the following is solution of (D3-2D2-5D+6)y=0

Q: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

A:

Q: Example: If w = f(x,y), find d²w dr² x = et, and y = 2t - 1

A: Here, w=f(x,y), x=et, y=2t-1

Q: the general solution for x²y"+xy'+ 4x². – y=0, is 2 .a y (x) =c_J, (2x) +c,J, (2 x) 4 4 .b y (8) =…

A: Thanks for the question :)And your upvote will be really appreciable ;) Option (d) is correct

Q: 2. Solve for the values of w(t), y(t) and z(t). w" - y + 2z = 3et -2w' + 2y' + z = 0 2w' – 2y + z' +…

A: Given system is w''-y+2z=3e-t-2w'+2y'+z=02w'-2y+z'+2z''=0with   w0=1, w'(0)=1, y0=2, z0=2, z'(0)=-2…

Q: dz Let z= a-2y6 –- 4x, r=u'v and y=v – 3u. Compute dn (4,v)=(-1,-1) a)-324 b)-328 C)248 d)312 e)316

A:

Q: Find the general solution of a = y+2x. O a. y = -z(Inz +c) O b.y = a (2ina +e) O c.y = a(2ina +c) O…

A:

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

A:

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: ди Use the Chain Rule to find for x + Y и — y + z when x = p+ 5r + 9t, y = p– 5r + 9t , and z = p+…

A:

Q: Maximize P = xyz with × +y = 9 and z +y = 9, and x, y, and z > 0. а. Р3 105 О а. O b. P=9 Oc. P =…

A:

Q: Let F(x,y,z) = 3x²y + 6y³ – 5xz². Find VF ,V²F¸ K×VF, and V×VF.

A:

Q: Evaluateſ 2y³ e>ʻ. a. ey²y² – 1) + C b. -ev*y² + 2) + C c. 2ev*(y² + 1) + C d. ev*y + 2) + C 2e»*(y?…

A: Given: I=∫2y3ey2dy=2∫y3ey2dy     ....1 Let, t=y2So,dtdy=ddyy2dtdy=2yydy=dt2 Now substitute these…

Q: Given F(r, s, t) =r(3s² + 9t°), compute: Frst

A:

Q: p = z, 39 = zy a 2y(z- 3)p+ (2x- z)q = y(2x- 3) %3D 1

A:

Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (c) z = x2 + 2y2 ; x = es - et, y = es + et

A: Formula to find the partial derivatives helps to find the partial derivatives of the function with…

Q: 4 - Find the general solution of y + 3y'+ 2y -e a) y(x) = Cie b) y(x) = Cie 2 + c2e -e c) y(x)= c1e…

A:

Q: D'y + GD'y - 54Dy - 8l y =0 A. * + Ca x*e* Ge* + (C2 + C3x + C4x9e¯³× C4 x²) e -3x 3X y = C, "+ Cze*…

A:

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

A:

Q: Find the value of v, w, x, y, and z v - 2w + x + 2y – z = -52 6v + 3w – 2x + 4y – 3z = 57 | -v + 2w…

A:

Q: Find x, y, z, and w. x 5 (2x - 1) ")- (2x – 3) y 4 4y (w + 1) (3y + 7) X = y = z = W =

A: Two matrices are equivalent when the corresponding terms of the matrices are equal.

Q: The div A at p(1,1,2) for A is .... Å = x²y i + 2 x z j + 4 - z² y k - 3 ( 3 зі зј о

A:

Q: Which of the following is solution of (D3+2D2+D)y=0(D3+2D2+D)y=0 ? a.…

A: We have given  differential equation D3+2D2+Dy=0 Auxiliary equation of diferential equation…

Q: Find X Y Z for these equations 3V2 X + 2v3 Y – 32 Z = 15 - X +3 Y + 2 Z = e^0.5 %3D V3 x + v2 Y – Z…

A: We need to solve the given system of equations to find the value of x,y and z

Q: 4. Find the value of y and mzN 7y (4y-15)°

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question which is…

Q: Find the values of x, y and z using Gauss Jordan method. 3x +4y +z = 10 2x – 3y+ 5z +9=0 * +2y – z =…

A:

Q: #1 1. A (B > C) 2 D-B 3. D-A 4. D I P> (Q> R) 2 (Q R) > S 3 P5 5) > (T - P) 3 I V> (W> (X > Y)) 2…

A: You did not mention which part to do so as per policy I am doing only the first 3 or else please…

Q: Find the general solution of the equation ¤(x – 1)y" – (2x – 1)y' + 2y = 0 by the reducing the…

A:

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: 1. A department store has found that its value of sales (2) depends on the mumber of advertisements…

A: Note:- $1=4.17 RM From Part (i), we have The problem is maximum z=420x-2x2-3xy-5y2+640y+1725subject…

Q: Find x, y, z, and w. x 2 (2x - 1) (2x - 2) y 7 3y (w + 1) (2y + + 3) y = = M x N W

A: Given:x22x-1y73y=2x-2z33w+12y+3

Q: Find the value of x using gaussian elimination or gauss jordan 4x + 2y + z = 18 4x - 2y2z = 28 2x -…

A:

Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (a) z = x2 - 2y2 ; x = 3s + 2t, y = 3s - 2t

A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and…

Q: x+y+z+w=6 2x+3y-w=0 -3x+4y+z+2w=4 x+2y-z+w=0 Select one: a. x=1,y=0,z=2,w=3 b. x=0,y=1,z=3,w=2 C.…

A:

Q: Select the solution to the BVP: zy- 4z y + 4y = 0, y(1) = –1, y' (1) = –4 Oy=z-z Oy=z - z Oy=-z Oy=z

A:

Q: If JG = 5x + 4, JH = 3y + 2, JF = 14, HK = 4z - 8, and KF = 12, find x, y, and z.

A:

Q: HW 2: If Z ~ N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

A: Given: If a standard normal variable Z follows a normal distribution with mean 0 and standard…

Q: »(x, y) = 3 x² y - 2 y2 A v (x, y) = (6r, 3 – 6y> B 8 vw(x, y) = (3 x²y, - 2y²) V#(x, y) = (6.xy,…

A: We have to find gradient

Q: Find z and z, Zy. z = 2x*y5 !! %3D Zy %3D × | > N

A:

Q: 3x d.A, A= {(x; y) E R² : y E [0, 1], x € [y, e®]} .

A: Given: A double integral ∬A3xdA, A=x;y∈R2:y∈0,1, x∈y,ey ∬A3xdA=∫01∫yey3x dxdy=3∫01x22…

Q: Find the solution of BVP 2. Uxy = 4xy+ex ; uy (0,y) = y, u(x,0) = 2

A: uxy=4xy+ex uy0 ,y =y u(x,0) = 2 To find solution of given differential equation

Q: The G.S for Əxəy is اختر احدي الدبابات z=cify + 2x) + czf(y- 3x) a. z= Cfy+2x) + czf(y -x) b. z=…

A: The solution is given as

Q: x2 If w = x" . fG x²+ y². %3D then show that: X. Wx + y. wy = nw.

A: