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

Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1. Ay = (1 – x)e2r y = (2 + 3x)e- y = (1 +…

A:

Q: Find the solution. dy x3– 2y dx A y= 3x3 c y2. 2y2 xy= 3 B.

A:

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

A:

Q: y" + 2y' +y = e-*

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

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

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Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: y² (y + 2)ï dy

A:

Q: Find the solution. dy y -= xy? dx A y = - ex - x3 3x B y = c-x3 - 3x y = c+x3 D y = c+x3 3.

A: Given equation is  dydx-yx=xy2

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: Suppose the equation y" – 4y' – 5y = f(x) has y= 3x as a solution.

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Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

Q: Find the solution of the difference equation 2 (2x^2 + y^2)dx - xydy = 0.

A: Given differential equation 2 (2x^2 + y^2)dx - xydy = 0. Now we will find the solution of…

Q: (t+2)y"-y'-(4t+10)y=0 Given y1=e-2t Find y2?

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

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Q: Find the solution to xy' +y =x² + 1

A: To solve the given differential equations ,  After some steps , it is converted into linear…

Q: (4x-3) find dy/dх y = (2х-7)6

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Q: Obtain the genral solution. (D3 + 5D2 + 7D+ 3)y=0

A:

Q: Solve the fallowing: X+3Y=40+ 1 X-2Y=D9

A: Let's solve equations.

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

A:

Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: findthe solutionof the differenta eqration- dy 2X+y-) X 4X+2Y+5

A:

Q: Q3) If y² + xy = 1, find y" at the point (0, -1)

A: We will differentiate twice and find the value of y" and it will be equal to,   - 1/4      The…

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

A:

Q: 2. (D² + 8D + 16)y = 1-e4x

A:

Q: Solve the equation below for y. 3x + 4y= -8 Oy =+2 Oy = --2 Oy=-+2 « Previous

A: To solve the equation for y.

Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

A:

Q: y= eo00Xis a solution of Select one: a. y = 600y %3D O b. y = - 600y O C. y = - 800y d. y = 800y %3D

A: The solution is given as

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

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Q: [v= -y +2x ,x' = 4y + x + t

A:

Q: .y² = 4x, x=0 to x= 4 %3D

A: Given  y2=4x  x=0x=4

Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: Solve 2yy′ + 1= y2 + x, with y(0) = 1

A:

Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2

Q: Find the solution. dy x-+5y=2x3y4 dx A y = -x+Cx13 15 6. -2-cx 15 23 B y = CX x²+cx 15 y = -

A: Given differential equation is xdydx + 5y = 2x2y4

Q: @ yt y'-2y=3e% 12 y-y=e

A:

Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)

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: COs 2 dydx (4) LL. r1 1 dydx x4 + y²

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Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

A:

Q: dy y2+1

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Q: y4 +y² - y +y 1 dy

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Q: y² (y + 2)ã dy

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Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

A: