x + 2y + 3x + 6y + 5z + 12w = 30 x + 3y – 3z + 2w = – 5 6x – y – z + z + 4w = 11 w = -9

Q: x + y + z + w = 6 2x + 3y – 3x + 4y + z + 2w = 0 x + 2y - z + w = 6 w = 12 %3D %3D

A: The given equations are solve equation (2) to find the value of x Substitute the value of x in…

Q: x + 2y + z + 4w 3x + 6y + 5z + 12w = 30 11 x + 3y – 3z + 2w = – 5 бх — у — г + - z + w = -9

A:

Q: Find a particular solution to y" + 8y' + 16y : -7.5e 4t t² +1 Yp =

A:

Q: If Ø(x. y. z) = 3x²y – y³z² , then VØ = %3D

A: First, we see a formula,Formula: ∇∅=∂∅∂x,∂∅∂y,∂∅∂zor,  ∇∅=∂∅∂x i∧-∂∅∂y  j∧+∂∅∂z k∧Note: Here ∅ is…

Q: Find ∂z∂x and ∂z∂y for 3x2z − x2y2 + 2z3 + 3yz − 5 = 0.

A:

Q: Find the solution of 9 y" + 6y' + 9y = 0 that satisfies y{0) = l,.y' /(0) = 0.

A: Solution: Consider the given differential equation is: 9y'' + 6y' +9y = 0or 3y'' + 2y' +3y = 0 Put…

Q: -x - y + z = 2; 3x – y – z = 0; 2x + y – 3z = 2 2x – 4y + z = 3; &x – 2y + 4z = 7; –4x + y – 2z =…

A: Option D 2x+y-3z=0, 4x+2y-6z=0, x-y+z=0

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: If z = 3x2 – 2y3, x = 1+ s²t and y = 33 – t2, then dz %3D O a) 6x(1+ s²)+ 12ty O b) 6s²x – 12ty - c)…

A:

Q: 5. y" – 9y = 0 with x = 0, y = 0 and y'=3 6. y" - 3y' + 2y 2x2 + e* + 2xe + 4e3x

A: As per our guidelines i am solving only no. 5. G For no. 6 resubmit the question mentioning no.6

Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b

A:

Q: 3. (4r*y² – 6r²y – 2r – 3)dr + (2r^y – 2r)dy = 0, y(1) = 3

A: The given equation is exact.

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

A:

Q: w + 5x + 2y + z = 4 -4w – 2x – 2y + z = 0 -5w +x – 4y – z = 3 -4w – y + 2z = 5

A:

Q: If fx.y.z) =x3y³ - y²z3 Then fxyz = 6xy2

A:

Q: 2. y" – 3y" + 3y' – y = x²e*, y(0) = 1, y'(0) = 2, y"(0) = 3 %3D

A:

Q: z(y" – y') – (y" – y) = 0, 1 y(0) = 1, y'(0) = 3.

A:

Q: 3x°y = 2yly- 3) O y-3= Cye-1/x? O 2y-1= Cyel/x? O 2y-1= Cye-1/x² Oy+3= Cyel/x?

A:

Q: Find a particular solution to y" + 5y + 4y = -10te". Yp =

A: Given the D.E. y''+5y'+4y = -10te3t We have to find particular solution yp of this equation.

Q: 4.x - 5y+3z + w = 11 %3D -x + 6z - 2w = 9 %3D 2x + 2y -2z+ 5w = 3 3x +y + z - w = 4

A:

Q: 2x + 4y + 2z – 3v – 2w = 23 x- 3y + 2z – v = 13 3x + 5y – v = 10 x+ 7y + 9z = 15 2x – 7z – 3v – 3w =…

A: In this question, we solve the system of equation by using Gauss/ Gauss elimination method here…

Q: (x³y³Xx³y²) x¹'y TO

A: Given problem:- x5y3x8y7x4y10

Q: XY=5.5, YZ=2c, XZ=8.9 Find the value of c and YZ if Y is between X and Z?

A:

Q: If V = (x² + y² + z)² then - If V (x² + y² + z) % %3D 1) 0 2) 1 3) x² + y? + z² 4) 2

A:

Q: =² + 2y²) = ry, y(-1) = 1 dy O 2n* = y² + a? O a* = 4 (y² + a²) O a4 = 2 (y² + x²)

A:

Q: z" + 6z' + 9z = e * z(0) = z'(0) = 2

A: We have, Lz''=s2Lz-sz0-z'0 and Lz'=sLz-z0 Leat=1s-a Lt=1s2

Q: Determine particular solution for y" – 4y' – 12y = 3e5. %3D

A:

Q: If y 0 then 25y2- 9y? V25y2 -9y2 O 16y 04y O4y?

A:

Q: 1. dzdydz 2. zphpzp - 6-z-3y dzdydz 3. r4-z-y dzdydz 4. ey 5. dzdydz VI-z-y A B D

A:

Q: If fxy (x, y) = y for 0 2X - 2) =

A:

Q: Solve the system of equations.

A: we have to solve the given system of equation

Q: Find the value of the variable and YZ if Y is between X and Z.  XY = 12, YZ = 2x, and XZ = 28 XY =…

A:

Q: O A. y= x+1 y= 2x+2 B. y= 2x+1 y= x+2 O c. y= -x+1 y= -2x+2

A:

Q: If y = (x² + 1)(2x – 3e*), then y' will be. A. (x² + 1)(2 – 3e*) + (4x² – 6xe*) B. 2 (x² + 1) + 3(2x…

A: By using differentiation property, we calculate the value of y'.

Q: Find the value of y when x=-1      1/6x+3/4y=4

A:

Q: 4x+ y+ ス+ w=D 6 3x+7y- z+ w= 1 7x+3y – 5z+8w = -3

A: use Cramer's rule to solve for y without solving for the unknown x, z and w 4x+y+z+w=6, 3x+7y-z+w=1,…

Q: If x + y* + z - 2z = 1, then a) None of these b) 3x²+4y3 2-3z2 c) 4y3 2-3z2 d) 4y³+3z? 2

A: Given query is to find indicated derivative.

Q: (b) 2х -Зу +z %3D5 -x +2y -z = 0 -х +3у -2z 34 (c) x + y +z -w =0 3x +2y -z +2w = 1 x +2y +5z -5w =…

A:

Q: Solve the system of linear equations.

A:

Q: Solve the system of linear equations.

A: Consider the given system of linear equations. x+y+2z-w=-2.........(1)…

Q: z" + 6z' + 9z = e-4t z(0) = z'(0) = 2

A:

Q: If y = 2 x , then y 2 = _____. Select one: a. 2 4x b. 2 2x c. a = - 3, n = - 2 d. y / 2

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Q: y + 4y + 3y = x -5x +4 %3D if y(0) = 0 andy (0) =1 %3D

A: The given differential equation y''+4y'+3y=x2-5x+4....(1) is a nonhomogeneous differential equation…

Q: Find x, y, z, and w. ху (x+7) (2x – 3) -1 W z 8 8y (9 + y) -8 X = y = Z = W =

A:

Q: Use Laplace Transform to solve the given initial-value problems.

A:

Q: .x + y +z - 2t = -4 x - 2y + 3z + 4t = 10 2x + 3y – z + 2t = 9 4x - y + 2z – t = -7

A: The solution to the system of linear equations of the form AX=B is defined by X=A-1B. Inverse of the…

Q: If 5x* – r'y + 6x+ y² = 15, then dy/dr is: %3D

A:

Q: (a) z'y" - ay + y = 2r, a> 0 (b) ry"- 4ry + 6y = a, z>0

A: We’ll answer the first part of this question since due to complexity. Please submit the question…