12v2r| (v2- ) dx

Q: r of (x + y3)

A:

Q: V4x² – 49 (b) dx

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Q: 2. f0x) =D(금x-푸)+3

A:

Q: d²y Find if 2x'-3y=7 dx²

A: Given that       2x3 - 3y2 = 7 Here we have to find     d2y/dx2

Q: xydy – (y² – 3x²) dæ = 0

A:

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

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Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

Q: r (1-x)²dx x3/2

A: Given: ∫(1-x)2x32dx

Q: (D² +9)y=sec3x

A:

Q: c. The f'(3) for y = v3x² + 9

A: c)y=3x2+9

Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

Q: 70. 4y" +5y' - 2y = e²+xsinx

A:

Q: dx Sx²+ 4 2. 多.区

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Q: d²y Find dx2 if –10x – 6y = -6.

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Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: (D2 – 4D + 4)y = e3x

A: Given ODE is: (D2-4D+4)y=e3x

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: None

A:

Q: -16y= dx4

A: Since you posted 3 questions here, i can answer only one. Please repost other questions separately.…

Q: y = x2/2x2 + 3 at x = 2

A:

Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: d2/dt2 (t3 + 2t2 - t)

A:

Q: x²dx a. V2x-x2 x2 dx b. 1-х6

A:

Q: K (x2.V1) (1-Y1)

A: Determine the length of LK

Q: 3. (Dª + 3D³ – 6D² – 28D – 24)y = 0 -

A:

Q: The fx³5x dx is x²+2 {A} x − ² (x² + 2)² + C 5 {B} x + ²(x² + 2)² +C {C}-{In|x² {D}+In|x² +21+ C…

A: integration

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

A: Given:

Q: Find d^3/dx3(lnx/x2)

A: Given: d3dx3ln xx2  ……1

Q: -2 c. [.x²e²²x² dx 0

A:

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

A:

Q: 11 (x7 – 5a*)"(7x6 – 15a?)dx 1 Determine: - 3x+5

A: See in the next step

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: pð – xª + 4x3 – 4x² + 8x – 4 d.x - - (x² + 4)²

A:

Q: 6. y = V2x – 3x . Find y'" -

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Q: 2 p4 p2 0 -1 (8x-2y+z)dxdydz

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Q: (D3 – 2D2 – D + 2)y = 10sin2x – 5cosx - -

A:

Q: d²y if 2x²-3y²=7 dx2

A: Differentiating both sides of the equation. 23x2-32ydydx=06x2-6ydydx=06ydydx=6x2dydx=x2y . . . . . .…

Q: 3x² - y2 = 8 x2 + 3y2 16

A: we have to use the elimination method to solve the given equations.

Q: f(x) 4x² – 3x + 8, ther %3D

A: In this question, the value of fx at x=-2 is to be determined. fx=4x2-3x+8

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

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Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A:

Q: (x²–16)3/2 dp-

A:

Q: Vx2 – 4 d.x 3.

A: Please refer the attached image for complete solution.

Q: 3x+4 f(X) = 2x-3 カCこ= ?

A: The objective of the question is determine the inverse of the given function.

Q: x2 + 4y2 + 322 = 3 дх ay

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Q: Find the y-intercept for the graph of the quadratic function

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Q: 1. (D² + 4D + 5)y = 50x + 13 e3x

A:

Q: de J( - 2)V- 4x + 3

A: