Find the general solution dy + cos(x)y = cos(x) dx O y = 1+ ke-2 sin(x) O y² = 2 sin(x) + c y = e-sin(x) + cos(x) esin(x) + c O ○ y = sin(x) + ke¯sin(x)

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A: We have to find

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A: Given that  Equation : 2x sin2(y)dx - (x2+18) cos(y) dy = 0 and Implicit solution : ln(x2+18)…

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A:

Q: 5.) Ms. Cyrus has 64 songs on her phone. Two- fifths of the songs are R&B songs. The rest are jazz.…

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Q: Find the particular solution : y" + y" +4y sin2x sin2x (b) Yp =sin2x (a) yp = - (c) Yp =- cos2x ()…

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Q: Find f(x).

A: Given,

Q: If f(x) = cos(3r), then f(77)(x) %3D (A) 37 cos(3æ) (B) 377 sin(3x) (C) –37 cos(3æ) (D) -377 sin(3x)

A:

Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

A: Given: fx=3xcos-12x+4-19-3x2. To Find: f'x.

Q: Solve: [xcos² (y/x) − y]dx + xdy = 0 4lnx + sin(2y/x) = C 2y 4lnx + sin(2y/x) = C x sin(2y/x) = C +…

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Q: Match the graphs with their parametric equations. I O (a) x=4-t+2, y = ² O (b)x= 2 - 3t, y = √t O…

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Q: Cos(x) 一+Sin (x) sec (x} I +sin (x) Cos(x)

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Q: f(x) = 2) f(x) = 1+2 cos 2x, 3) f(x) = 1-2 cos x %3D 2

A: (1)   Let the function be,   f(x)=x-1x   Find the domain of the functionf(x)=x-1x Here, the function…

Q: Let Find f(x) = y = f(x) = 5x + 18 cos x. d f(x) =

A: Given query is to find the derivative at indicated point.

Q: 2. The suitable Trignometric substitution that solves fx(x-2) dx is (x-1)=sin 0 x-1)3sec0 (x-1)=tan…

A: We can find the answer as below.

Q: Find y = 223 [tan(3r+1)] 2° + ry – y5 = 8x2 = (x + 3)² (x² – 2x) -

A: The Product Rule : The Product Rule says that the derivative of a product of two functions is the…

Q: If f(x) is odd function then | sin( f(x)) dx = Select one: O 2 : sin(x) dx O None O 2 2 sin( f(x))…

A: To check if a function is even or odd in the given function then apply x=-xIf f(-x)=f(x) then the…

Q: The special solution to the equation * (D²-3D+4)y(x)= 4sin(2x) Y,(x) = Excos(2x) у, (х) cos(2x) -…

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

A: The solution is given as

Q: Find the general solution of (2x + y cos (xy))dx + x cos (xy) dy= 0 Show your solutions on a…

A: Solution

Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

Q: (a) a²y + y sin r = xy. (b) y = x³y - 2y³. (c) y = e²-2y (d) y'= x² + y² xy

A:

Q: solve for y, In - y| +C = (1n|cos(x) – 1| +c)

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

A:

Q: f(x)=cos(x) Glx)こxや+1 d f(9(x) = t3 clx

A: We have to find derivative

Q: (1 + x²) dy + 2xydx = cot xdx y (1 + x²) – In|sin x| = C y (1 + x²) – In|cos x| = C y (1 + x²) +…

A:

Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: If y = sin (sin x) and d dy tan x + f(x)= 0, then f(x) equals dx2 (A) sin² x sin (cos x) (C) cos? x…

A: Introduction :

Q: Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal places. Year…

A: To find - Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal…