(D2 – 1)y = 8xe*

Q: d²y 5. If y = 4sinx + x²cosx + 4x then find dx2

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Q: d²y Find dx2 , if y vx-x Jy = 9

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Q: alculate d2y/dx2 when y=3x.5-6x

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Q: (x-y-2)dk t3x ty-1)dy=0

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Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: d²y Find dx2 1 y = ,2

A: Consider the given equation is, y=1x2 Differentiate as, y=x-2dydx=-2x-2-1dydx=-2x-3dydx=-2x-3

Q: dy ニ 3 x +y-2

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Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: find d^2y/dx^2 if y= 17/ x^3

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Q: Find ax dy x-2–1 given y = 2x3

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

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Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: (4x-3) find dy/dх y = (2х-7)6

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Q: d²y Find xp y = d²y 口 %3D dx 2.

A: topic - double derivative of a function

Q: calculate d2y/dx2 when y=-3x2+2x

A: . Given y=3x2+2xwe find d2ydx2

Q: · (D² + 3D + 2)y = xsin 2x

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

A: Given that: y=4x3+3x2

Q: Find d^2y / dx^2 when y = 8+x / 4-x

A: Simply take two times derivative of the given equation using the derivative of the form  u/v

Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: y(t) = y" - 3y' = 8e²t - 2e-t, y(0) = 1, y'(0) = -1

A: Given

Q: Calculate (ay² + y) dy dæ. 3.

A: We use the properties of integrals to evaluate the given integral.

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: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

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

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Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: calculate d2y/dx2 when y=0.4x-0.3

A: use this formula:

Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: Find d3y dx3 of y = x³e-x

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Q: d²y + y = 0 dx2

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

A: Given: x = t3 - 3t y = 3t2 - 9

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find…

Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: Let y = 4**-2x+3. Find d²y - dx2°

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Q: calculate  d2y dx2 . y = −  4/ x2

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Q: d'y 11. +2y = 4cos² x dx

A: Given:        d2ydx2+3dydx+2y=4cos2x

Q: dy Q5/ a) Find 2 if y = esin (2x) dx

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Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: ydx + 2(y4-x)dy=0

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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: d²y 10 + 9y = 5t, y(0 dx

A: Laplace solution: d2ydx2-10dydx+9y=5ty(0)=-1, y'(0)=2Taking Laplace on both sides we…

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: d-y if x = t – t² and y = t -t3 dx2 1. Find

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

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

A: Using power series method.

Q: d³y Find dx3 where y = e*(8x + 1)

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Q: calculate d2y/dx2 when y=-2/x2

A: Given: y=-2x2

Q: dy 3x - 4 81. if y = %3D dx 12r²

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Q: Find ay/dx. 8x²y - y

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Q: dx Vx²-4x-7 7. dy y2-8y+5

A: