35. Y"(t) +Y(t) = 8 cos t, Y(0) = 1, Y'(0) = -1. Ans. Y(t) 4 sint 4t cos t = cos t -

Q: (1-x) y'= y?

A: We have to solve the given differential equation

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

A:

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: 5 Find y' if cos (Xty) =

A:

Q: y" - Y+1 = cos(+) u(

A:

Q: .v" + y = cos x ; when x = 0, y = 0, y' = 1

A:

Q: e" sin°(2x) (d) y = In 2x2 + 1

A:

Q: Find f. f"(0) = sin(0) + cos(0), f(0) = 3, f'(0) = 4 f(0) =

A: Objective is to find f.

Q: 3. y" y'-y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: First find the commentary function then particular integral and then use the initial conditions as…

Q: 8. Find y'if y = x³ +sin (x)

A:

Q: Find y'' if y=-6 cos x. OA. y' = 6 sin x OB. y' = 6 cos x OC. y'= -6 cos x OD. y'= -6 sin x

A: The function is given byTo determine: The expression of the second derivative of the function.Formul…

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: Find f. f"(x) = 5 + cos(x), f(0) = -1, f(9π/2) = 0

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Q: 5. sin¹(sinh(sin(xy))) = 5x; y'

A:

Q: (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx - sin³x

A: this is a linear differential equation. solve it using integrating factors.

Q: (tanx) y' = y, y(플) = 플 T

A: Given differential equation:- tanxy'=y

Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Solve y' = cos(2x + y – 5) – 2. = COS

A: The solution is given as

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

A:

Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) = -1

A:

Q: 7. Find y'if y=x³+ sin (x)

A: given

Q: Find y' and y". y = cos(sin(90)) y' %3D %3D

A: We have to find

Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: (1+x)y' + y = cosx; y(0) = 1

A:

Q: If y(v) = 10 COS 79 72 dr then

A:

Q: y=(b+x²)* +(1+x³)*(/3x² +x – c)cos²(4x) y' =?

A: