In y = C, sin 8x + C cosax + 9x²- 2

Q: 5- S(cos3x – 2) sin3x dx

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Q: 54 (b) y =. sin 2x. 4 Find

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Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: In (1- 2t cosx + t2)dx 0, |

A: The definite integral is when we put limits in the indefinite integral. It is expressed as ∫abfxdx.…

Q: -3x cos(x) + C2 e ,-3x ¯ 3" sin(a + c2xeš* -2x + c2 e2a * + C2xe-2

A: Given : The given equation is  9y" - 6y + y = 0

Q: find general Solution (D²+6D. Sin 4X to

A: Given differential equation is : D2+6D+16y=sin4x To find the general solution.

Q: a. y=sin(x² + 3x + 1)

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Q: Solve: Tanxdy+ y°Sin²xdx=0, y(0)=1 а. у"(3-Сos2x)-2 b. у(-2х + Сos2х) -1 d. y(-1+ Cos2x) — х с. у?…

A: This question is related to differential equations, We will solve it using given information.

Q: If y = cos x + sin 2x, find the value of y” - y’ +3y

A: We will differentiate the given function.

Q: D2 - 3D – 4)Y = sin 2x

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Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: b. y= 2 sin 2x+1

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Q: (A) ftan (5x)dx dx √9-4x² (C) [sin 6x cos7x dx

A: According to new guidelines if a question contains more than 3 subparts we have to solve only 3…

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x(B cos 2x + C sin…

A: The solution is given as

Q: 3) (x²D² - 2xD+21)y=x³ sin

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Q: you - yu +ay!~gy=0; ye C, sin3>c + Cz COS 3x+4 14

A: Given that  The differential equation  To find the general solution

Q: If y = -cos(2t), then y(5)= ?

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Q: -3RT/2 b. Smt cos³x sinx dx

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Q: B) Find and itx sin 3z and y tan 3z dx2

A: Given: x=sin23z and y=tan3z If x and y are function of z, then using parametric differentiation we…

Q: Find integral.

A: We can integrate this expression by using integration by parts technique . From integration by parts…

Q: 15. (D* – 1)y : = sin 2x

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Q: b) S (7x² – 5x² – 4)sin (3x) dx |

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Q: In(1- 2t cosx + t²)dx

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Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

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Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x (B cos 2x + C sin…

A: To eliminate all the arbitraty constants in the below equation. y=Ae2x−e−5xBcos2x+Csin2x

Q: - sin(x®) 9u e cos(3x)· du 9u? Inx5

A: Given- ∫lnx5sin(x6)cos(3x)e9u29u2du To evaluate the given integral.

Q: 4 Find (b) y sin 2x.

A: This question is about differentiation or finding derivative of y with respect to x.

Q: Eliminate the arbitrary constants in the equation y = cje2 cos 3x + c2e2a sin 3x.

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Q: ( 4x³- 6x +5 2+3 cos x dx. 9. Find sin?

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Q: Solve (D² - 2D + 5) y = sin (2x) + 17x cos (2x) — 15x -

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Q: and y = 3 cos 2x for 0s

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Q: 3. In the equation y = sin1 x, if x = 0, then y = 0.

A: We have to use the inverse sin function and the interval -π2,π2. We have to recall the trigonometric…

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e -5x (B cos 2x + C sin…

A: Solve the above question.

Q: evaluate y' for y = cos12x - sin^2 6x

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Q: What is the midline equation of y = -4 sin (2x-7)+3?

A: Given y=- 4 sin (2x-7)+3

Q: Cπ/2 sin² 3x dx

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Q: b) SE cos(3x) sin(3x) 18

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Q: 2) y = sin(3x²ex)

A: Find the derivative

Q: - Solve y"+y = cos(x) +3 sin(2x) %3D

A: Given- y''+y=cosx+3sin2x To Find- The value of the above differrential equation.

Q: What is the value of k so that dx sin(kx2) = 6xcos(kx²) ?

A: Topic - derivative of a function

Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

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Q: 11cot 2x dp- sin? 2x

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Q: +C 498 (9y) - sin° (9y) dy : COS

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Q: 1 -sin(16x) = x cos(16x) -2 %3D D +256 16

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Q: y = C, e3x + 2C2 sin3x

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Q: 1) fx-²dx 2) sin(n)dx

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Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: Find Se2" sin(2x)dæ

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Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: Using the Method of Undetermined Coefficients, give an appropriate guess for yp. y(4) + 9y" =…

A: Given the DE is y4+9y''=cos3x+4x2. Guess the particular solution of the DE.