(x²-2x+11)dx (x²+3x-4) .2. r2.

Q: 5) (x- 4)² + y² = 9 Center Radius

A:

Q: Find d2y/dx2.  y = 2x2 + 1

A: Let function f(x) be y = 2x2 + 1                        To find :  d2ydx2…

Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

A:

Q: Find dy 2x-3y=8 2 if dx2

A:

Q: Find d2y/dx2 if 2x3-3y2=8

A:

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: b. S 2*³-4x²-x-3 dx х2-2х-3

A: First we divide the polynomial  using long division

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

A:

Q: Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5

A: Here we have to solve the non-homogeneous differential equations     (D2-7D+6)y = 3x2 - 2x +5 .

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D.…

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

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

A:

Q: r/64–x² r61-x²-y² x dz dy dx -67+x²+y²

A:

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: 2 y (4- y²)³ dy

A: The objective of the question is evaluate the definite integral.

Q: Find dy. y = 8x° - 7x - 3 5 dy =

A:

Q: · (D² + 3D + 2)y = xsin 2x

A:

Q: 2 X 2.(D²-4D +4)y = x

A: find find its auxilary equation then find its complementary solution then find particular solution…

Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

A:

Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

A:

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: 2x d³y d'y dx³ dx² 2 = d²y_a². dx2

A:

Q: d²y x-9 Find for y dx2 = (3x² –2x+5)

A:

Q: 2. (D² + 8D + 16)y = 1-e4x

A:

Q: Find d2y/dx2.  y = 2/(2 + x2)

A: Given: y=22+x2

Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

A:

Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

A:

Q: Find d2y/dx2 if 2x3 - 3y2 = 8

A: Given:

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x +…

A:

Q: C2 (2+/4-x2-y2 (x² + y² + z²)/² dz dy d /4-x² J2- 4-x²-y2

A:

Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с.…

A:

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

A:

Q: Find d3y dx3 of y = x³e-x

A:

Q: Z = 5 X 4 2 -7x+8 d²z dx2

A:

Q: : Evaluate: r 2x3-4x2-x-3 dx | х2—2х-3 |

A:

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

A:

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

A:

Q: f 12x -9x +2 dx 3.

A:

Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

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

A:

Q: 6. (D² + 1)y =- 1 %3D 3

A:

Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

A:

Q: F. V2X²-4x-7 dx X-X

A:

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

A:

Q: dy y2+1

A:

Q: 7 Find *: (a) 4x y3 + 2x'y-y-2x-4 = C dx

A:

Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…

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

A: ∫01∫03-3x∫03-3x-y dz dy dx

Q: dx Vx²-4x-7 7. dy y2-8y+5

A: