· (D² + 3D + 2)y = xsin 2x

Q: 8- (y – y) dy

A:

Q: Vy - y 3 b) dy 2 y²

A:

Q: 1- y = -y² 2yt+1 2rv y(1) = -2

A:

Q: d²y dx2 -y = 10sin²x

A:

Q: Solve for y: (D^3 - 3D^2 + 3D - 1)y=0

A: The solution are next step is

Q: calculate d2y/dx2 when y=.4x-.3

A: Given function is y=4x-3. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

Q: مدليه dy ها + 29 - 3X %3D xp 2x+7y-1 7. نوقو مباء با حیاء

A:

Q: Find d2y/dx2 in terms of x and y. x2 + y2 = 3

A:

Q: y²-6x²y=-9x ; y' at (1,3)

A:

Q: V 96x-x² 48 9Vx2+y2 dydx =

A: Refer to the figure shown below:

Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: y= 2x3-14x2 +9x+7 dy %3D dx

A:

Q: dy +y%3DX² 2.

A:

Q: у" + Зу" + Зуy' + у %3D 30 е -х

A:

Q: y" + 9y = sec 3x %3D

A:

Q: 41 D'(D + 1)y- 3x +4sinx-2 cosx

A:

Q: (3x + y5)dy – ydx = 0 %3D -

A:

Q: in yy = 2 y-x; %3D

A:

Q: (D³ + 3D² + 3D + 2)y = 0

A:

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

A:

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: I-y+z=1 2x + 2= 2

A: The system of equations are : x-y+z=12x+z=23x+y-3z=3 Apply the cramer's rule in the system of…

Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

A:

Q: 9-2-y (x² + y² + z*)% dzdydx

A: Given integral is ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy dx Take  I= ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy…

Q: d (b) sec2(x³) Vx2+6 d (c) dx \(x3-4)5

A:

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: Solve the system.

A: 2x+y=6 .......(1)x-3y=17 .........(2)3x+2y=7............(3)Multiply equation 1 by 3. We get,6x+3y=18…

Q: Let y = 4**-2x+3. Find d²y - dx2°

A:

Q: dy - 12x +4 dz

A:

Q: 3. (D² – 3D + 2) y = 2x³ – 9x² + 6x

A:

Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: (х-4y-9) dx +(4x +у-2) dy %3D0

A:

Q: Solve (D² – 3D – 4) y = 16x – 50 cos (2x)

A:

Q: y''- 2y"=cosh(2x).

A:

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: (D2+9)y=cos 3x

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: (D + 3D + 2)y = xsin 2x

A:

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: S- 2dx X(3(Inx)*+121nx-15)2

A: Use the substitution and make the given integration in standard form than solve .

Q: 91 182x-x2 9V x²+y² dydx %3D

A: Here we solve double integration problem.

Q: y'- 4y + 4y = x(2e²× + xsinx)

A: The given differential equation is                    y''-4y'+4y=x(2e2x+xsinx) ⋯⋯⋯ i The…

Q: 3-3X 3-3X-y dz

A: ∫01∫03-3x∫03-3x-y dz dy dx

Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…

Q: dy Calculate y = -6x2 + 2x %3D

A: