y = 2 sin (x+)- 1 TC . %3D 4. 4

Q: Given y = xva² – x² + a² sin¬1 (A. dx

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Q: 33. sin x dx dy х 0,

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Q: Solving for the dy/dx of the function below lea 5 y = 1- sin?

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Q: 9x Differentiate y = sec sec(; COS a

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Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

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Q: d cosh(3x? + 1) and (b) dx d (sinh x tanh x). dx Calculate (a)

A: Given: a ddxcosh3x2+1b ddxsinhx tanhx

Q: y = Ln (tan(x).· 3sec(=) ) + v sin(x³) dy/dx agi

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Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

Q: Find dy/dx by implicit differentiation. (cos TIX + sin ny)5 = 66 dy/dx = xp/Áp

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Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

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Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: + 3r?y – y³ = 4, find dx Given sin

A: Given that sin (y^2/x^2) + 3x^2y - y^3 = 4. We have to find the value of dy/dx.

Q: I 1 y sin(2²)dx dy. 0. y2

A: See the details solution in below

Q: d'y = 4 sec 2x tan 2x, y' (0) = 4, y (0) = -1 dx?

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Q: Ly = Ce* + C2 cos x + C3 sinx

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Q: dy Solve the DE. x +x = sin (x + y) dx

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Q: i y = tan-1(x)+ tan-1() dy + 10 dx

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Q: NOTE: Enter the exact answer. r3-y 5y dx dy

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Q: H.W Y= Sin *る

A: Given, y=sinuu=x2ex Substituting u in y we get, y=sinuy=sinx2ex Differentiating equation (1) with…

Q: ® SS sin (2x) – T dA R- (*14, "/2] x [O,1]

A: In the given question, concept of integration is used. Integration Integration is a method of…

Q: メ tan y.dx イ X" dう ニ ○ 2(ty')

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Q: (y? cos x – 3x?y – 2x) dx + (2y sin x- x'+ In y) dy = o

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Q: + Зу- cosx %3D ,y(1) = 1.017 dx x2

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Q: d'y -+42=sin 2x 3 dx dx

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Q: | sec 2x tan 2x dx

A: ∫ sec2x tan2xdx=let u=2x     dudx=ddx2x    dudx=2dx=12du ∫ sec2xtan2xdx=∫ secutanu 12du∫…

Q: d’y 3. In(sin x) = dx Α. π В. О С. -2 D. 2e

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: (d) y' + 2 sin 2nx = cosh 3x %3D

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: y+2y+y=sin x-4e™*.

A: Given differential equation y"+2y'+y=sinx-4e-x. The objective is to solve the differential equation.

Q: ex + e-X 2 A sinh B cosh © tanh D) sech

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Q: (y'sec? xdx - 0 (1– 2y? tanx)dy =

A: Here Solve the given ODE (y3 sec2 x) dx – (1- 2y2 tan x) dy = 0

Q: (y3-y? sin x - x) dx + C3xy? 2y cosx) dy = 0 2 +

A: On solving this differential equation we will get

Q: b) y = (e² + √cos x) c) y = |l−tanx 3x³

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Q: differentiate h(y) =tan(10y)/e^(4y) +1?

A: To Determine: Differentiate the given function:…

Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: y = In (tan -1 (8x°)) dy dx II

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Q: sin?y dx + cos²x dy = 0 ; y (÷) =÷

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Q: 24. x² sin y dx dy

A: Given :   ∫-11∫0πx2 sin y dx dy=?…

Q: dy (2xy – sinx) = (cos y – x²) dx

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Q: dy dx ycsc 2x = y, .3 tan x

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Q: y+2y+y=sin x-4e™.

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Q: sin z VI+ cos I

A: To evaluate: ∫sin x1+cos xdx

Q: y = (cos 3x)vx

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Q: dy |=x+y. dx Solve: sin

A: Using method of equation reducible to variable separable method.

Q: cos²x .2 + y = tan x dx dy

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Differentiate

A: Derivative of a function is the rate of change of the function. It gives the slope of the function…

Q: dx dt 2w3 d. dw Sin (x)-InIxldx

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Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

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Q: sec x dx cos(2x +a)+ COS a

A: Introduction :