a*y 18+ 81y = 0 dx4 dx2

Q: d'y d²y dx2 dy 18y = 0 dx 2 +9+ dx3

A: We have to solve given problem:

Q: 6. x2 +7 y = 8. dy dx II

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Q: Calculate the derivative.

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

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Q: Calculate  d2y dx2 y =  −  5 x2  d2y dx2 =

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Q: d'y 4x dx2 dy +6- + у %3D0 dx

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Q: dy y = (3x2 + x-2)-1; dx

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Q: dy dx = y 3 2.

A: We have to find the area using the given information

Q: Find dy/dx. 1. y 4x7

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: d°y d5y 12 d*y + 86 dx+ 300 d³y + 625 dx² d²y = 0 dx6 dx5 dx³

A: Given linear differential equation with constant coefficient . The solution is

Q: dy 2x y3 – 4y dx II

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Q: dy + (1x – 7)y = 2x7 dx

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Q: b) x d2y dy 12²-4 dx+6² = 2/1/2 dx²

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Q: d.) s 2x+3 x243x-1 dx

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Q: 2x - y)dx + (4x + y − 6) dy 6)dy = 0

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Q: B: Find dy /dx 4x5-5x+2x3 2- y = x2

A: We have to find the derivative dy/dx.

Q: dy 2x2y+y 二 dx

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Q: d'y d²y dy dx3 -2 dx2 +9. - 18y = 0 dx

A: Given equation is d3ydx3-2d2ydx2+9dydx-18y=0Here we have a linear differential equation which…

Q: d’y dx² 5 + 6y = 3x+3 dx

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Q: If x2+3x2y4=y+8, find dy/dx

A: Use the basic concept of derivative and differentiate the given equation.

Q: 1. y 10 – 2x6 dx

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Q: Find dy/dx: y = √√√2x¹ + 3x² +5

A: I have stated the used formulas in the solution

Q: d'y dx +8y = 2x – 5 + 8e **, y(0)=-5, y'(0)=3. y"(0)=-4

A: Given the differential equation            y'''+8y=2x-5+8e-2x with initial conditions y(0)=-5,…

Q: a. y(x² + 2)dx – (x³ – x)dy = 0; when x = 3, y = 1/3 -

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Q: x² – 4y² dy 29, dx - 2хy ||

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Q: If y = 2x² then dy dx 11

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Q: Sx² ex dx

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Q: d ?y + 5 dY + ol x2 6X=0 dx

A: This is a basic differential equation question

Q: dy. dx2 y = -6x2 + 7x Calculate d²y dx2

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Q: dy 4x2 + x dx y + 4

A: Given : dydx = 4x2+xy+4

Q: y=(x2+1)4​, find d2y/dx2.

A: Explanation and solutions is given below.....

Q: d²y + y = 0 dx2

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Q: S dx 36 - x2

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

A: The given function is x3 + y3 = 2. Differentiate the given function with respect to x as follows.

Q: d?y dy + 2- dx 4x dx2

A: given differential equation :

Q: dy + (1x dx 7)y = 2x°

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Q: calculate  d2y dx2 . y = −  4/ x2

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Q: dy 2 y = x3 – 6x3 бх3 — 5; - | dx5

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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: dy Calculate dx2 2 y =

A: To calculate d^2y/dx^2

Q: d²y dy + 2 dx 12х — е2х || dx²

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

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: dy y²+3yxZ dx 十3

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Q: Find dy/dx y= (x3-3x)6

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Q: If y =3 √3x2 − 10x + 6 , find dy/dx

A: To find derivative of the given function.

Q: Find ay/dx. 8x²y - y

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