EQUATIONS 5y" – (y')* = y³ sin æ yy" + 2x = tan x *+ (#) - () dw = 4et ds ds 8 M dy 82 M dy? = cos x + N æt' + (t")³ = Vr + 5 (3y')² = (4z*y³ + v) %3D ez² - y' = (cos z)² – y" %3D -

Q: y' + y tan x = sin 2x cos³ x y3 given x=0, y=1

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Q: Differentiate. f(0) = 0 cos(0) sin(0)

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Q: y' + y tan x sin x cos With y(4) = 0

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Q: y = x sin-'x + v1-x² What is dyldx? " v1 - x2 x tan-1x >>>> >>> cos-'x sin-'x

A: The given function is: y=x sin-1x+1-x2

Q: 2. Reduce to an exact equation and solve it: dy_2xsin 2 y+(2siny)/x² dx 2x²cosx-(2cosy)/x (2x²ysin…

A: GIVEN: dydx=2xsin2y+(2 siny)/x22x2cosx-(2cosy)/x             (2x2y siny -x y3sinx)dx +(x3siny +x3 y…

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: (cos y+ ycosx)dx + (sin x –xsin y)dy = o

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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: y = 2 sin 3x 1+3 cos2x

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Q: find y'. (show all the steps please) cos(xy) = x-y^2

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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: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: 6. y cos5 (sin(2x)), y'=?

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Q: / – 9x* sin²(7y") = 9x* cos²(7y/") What is y(4) if y(0) = 8? %3D %3D

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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: 5. Find y', if y 2cosx sin2x – sinx cos2x %3D

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Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: dy general solution of 25 dx - - y secx = y³ tanx

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Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: Using Variation of Parameters 4y''-4=cos-1x

A: Given that, 4y''-4=cos-1x Now let's take, 4y''-4=0 Take m=ddx, 4m2-4y=04m2-4=0m=±1 So the homogenous…

Q: y" + y" = e* cos x

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Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

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

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