2. x°ー×- 8x ー1 dx x²-3X -4 2

Q: Find dy/dx: 4x²-3 y = Vx2–1

A: The given function is, y=4x2-3x2-1 To find the expression for dydxwe need to use to division rule of…

Q: 17x-6 - dx x² -x² - 6x 2.

A:

Q: If | f{x)dx=2a - 5b, then [f(x) – 2]dx=?

A: The solution is , C) 4a-7b ∫ab[f(x)-2] dx=4a-7b

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: 10a3 5.) dx 1 – x8 -

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Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

Q: 13 [* Vx2 +y dydx 00

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Q: 2 4 (6x2 + y ) dx dy =

A:

Q: If 4x²-2y²=9, then find dy/dx.

A: Using defination of differentiate

Q: If x = t³ – 3t² , find %3D dx 1. -1 -1 A. 3(t-2) В. 3t(t-2) С. 3(t-2) D. 3t(t-2)

A:

Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: a. Jx-2 + 6x² dx Jr b. Setanx sec²x dx tana c. S 2x+ 6 dx x2-3x,

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: x² – 16 - dx = Mx + 2)3

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Q: 4-y2 dx

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Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: dx J-2 (5-4x-x²)/2

A:

Q: ,0 2x²-1 x6 - 3x + 15 dx

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 4-x2 dx -2

A: The given integral is

Q: y= 2x3-14x2 +9x+7 dy %3D dx

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Q: 19-x² dx 2

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Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

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Q: 7). Sx² sech x³ dx 3

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Q: | -8x*dx – 4x -³ + 8x¯°) dæ - 2e*dx

A: Disclaimer: Since you have asked multiple questions, we will solve first question for you. If you…

Q: (2x + Зу — 5)dx + (3x — у — 2)dy 3D0

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

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

A:

Q: Evaluate the integrals

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Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

A:

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: 3- f xvx2 +1 dx

A: Integration

Q: V9-x2 2+3x dy dx

A:

Q: ๆ ³₁₂₁ (4x²y — z³) dz dy dx -2 J1

A:

Q: 1-3x dx Jo J2x-3x² 4. 2х— Зх?

A: Given problem is

Q: If y = x3 – 2x2 + 3x – 1, then d2y/dx2 is equal to

A: topic - derivatives

Q: ) Find the general solution (4x + 2y +3)dx + (6x + 3y- 2)=

A:

Q: + 2r -1 dx (x2 – x – 2)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: أ 12, x > 1 (b) ) 5 f(x) dx

A: According to Bartleby's guideline, we can only solve three subparts of a question. Please post again…

Q: Let y = 4**-2x+3. Find d²y - dx2°

A:

Q: what is the solution of equation 2ydx + (2xlogx - xy)dy = 0

A: Given differential equation is. 2ydx+2xlogx-xydy=0

Q: (х-4y-9) dx +(4x +у-2) dy %3D0

A:

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: Find for 7x3 + 4y = 3y² dx

A:

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

A: Using power series method.

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

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Q: sec x =dx Vtan x 3 8. 4

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: 2x- x2 4Vx +y dy dx JJ

A: Given: ∫02∫02x-x2 4x2+y2 dy dx The function is z=4x2+y2. To Evaluate: The iterated integral by…

Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: Linear DE 1. x²y' + 2xy = 5

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.