The Yp of (D²+D) y=20

Q: y2-16y +28=

A: Topic:- algebra

Q: d²y dx2 -y = 10sin²x

A:

Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.

A:

Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

A:

Q: (y+10)dy y3+2y2-5y-6

A: Consider ∫(y+10)dyy3+2y2-5y-6 = ∫(y+10)dy(y+1)(y2+y-6)= ∫(y+10)dy(y+1)(y2+3y-2y-6)=…

Q: Obtain the general solution C. (D2 + 2D + 2)y = e-x

A: Obtain the general solution C. (D2 + 2D + 2)y = e-x

Q: -. (D² +4D+4)y=-x*e y =-x³e

A:

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0 -

A:

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

Q: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

A:

Q: dy = 6x(y – 1)2/3. dr

A:

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: The y, of (D²+D)y=11 .A e¯X+11 .B 11 .C 11x .D does not exist

A: Given that  (D^2+D)y=11  To find the particular solution differential equation

Q: · (D² + 3D + 2)y = xsin 2x

A:

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: What is the general solution of the equation y '(t) = -4y + 6?

A:

Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

A:

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: y2(1+p2)=x+yp what is y?

A: Given data:     The given expression is: y2(1+p2)=x + yp.   The given expression can be written as,

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

A:

Q: (D³ - 4D²D'+ 5DD² – 2D ) z = e'+2* + Vy+x. |

A:

Q: dy y16y² - 1

A: Consider the given integral:

Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

Q: (D³ – 3D + 2)y = -7 у" - 9y' %3D 27

A: (1).    The given differential equation is: D3-3D+2y=-7

Q: y² + 5 dy y²(y² + 25)

A:

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: y = (t² – 2)². a²y 2. dx²

A: y=t2-22 and x=t2 Now, differentiate the given function with respect to t.…

Q: Find d3y If y= W3-2x dx3

A:

Q: 23- y" - 2y + y = 0; y₁(t) = et, y₂(t) = tet

A: 23. Given y''-2y'+y=0   Also given y1t= et,  y2t=t et   To verify: the functions y1, y2 are…

Q: Find the solution. dy 3+9y =2ty53 (A) y- 3er - 3 (B © y - 34-3e2

A: To solve the given differential equation first we will arrange the differential equation in the form…

Q: Find d3y dx3 of y = x³e-x

A:

Q: z = = 9x°y° dz = %3D

A: Given that z=9x8y6To find :  dz Solution…

Q: The solution of y – 6y – 2y = 0 is -

A:

Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find d2y/dx2 if y= (x2-1)(x3+2)

A:

Q: x-4y=5 and y=Bx+24

A: Given:

Q: y = In(x² + 4)

A:

Q: (D2-3D+2)y=xe*.

A:

Q: d²y Find for y dx2 x-9 (Зx2-2х+5)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: - 2r2- 6y = -2x + 5y %3D he previous step at x = -3.

A:

Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

A:

Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: 3. Find y" y = vx² – 4 -

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

Q: The y, of (D²+D)y = 11 .A does not exist .B 11x .C 11 .D e +11

A:

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

A:

Q: x+y=D4 2. x-y%3D6

A: Given that, There are two equation following, x + y = 4…