H.W. 42 1/x*y"- 4xy' + 6y =

Q: 3. Exact DE (1+ y3 + xy?) dx + (x²y+ y+ 2xy) dy = 0

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Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

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Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: 1. Find dy for each of the following: dx d) y = e +x° +e° e) y = x° Inx 1) In(x + y) = e*-

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Q: I. Find dy/dx of the following: COS X √4-3x² 7. y In- 8. y In, 6. y = In(In x) 9. y + ln xy = 1

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Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: 뿐 for the following: y = ln(e2z) 0 읊 ○ 2 Oezz ○ ez (In 2)

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Q: FIND DY/DX OF THE FOLLOWING 5. y=csc Inx

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Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

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Q: Find dy/dx for the following xVx² In y = In + 1 2 (x + 1) 3

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Q: I. Find dy/dx of the following: 1. y= In 2x 2. y (In x) 3. y= In(tan x)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: dy 3. (a) If y=x'sinh (1/x)+ In(tanh 2x), find dx

A: Given function is y=x3sinh−11x+lntanh2x. We have to find the dydx. Used formula, ddxsinh−1x=1x2+1…

Q: Find dy/dx for the following xVx² – 1 In y = In %3D (x – 1)3 |

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Q: If y = In(x² + 5) + sinx function then ay at x = 0 is ? dx 11 10 1 10 O 1 O 5

A: Given, y=lnx2+5+sinx  We have to find  dydx at  x =0

Q: Find the slope of the tangent line to the graph of x²-Iny=0 at x=2 O None of these O 4e4 O e4 O 4

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Q: dy 3. (a) If y=x'sinh '(1/x)+ In(tanh 2x), find dx

A: Given: y=x3sinh-11x+lntanh2x

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: S S§y²cos(xy)dydx

A: we have given,                 ∫x =0x=1∫y=0y=π4y2cos(xy)dydx After arrangement,…

Q: .2 -dædy In (x) ey

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Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: Find dy/dx: y = In [(1 + t^2)/(1 - t^2)]

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Q: FIND DY/DX OF THE FOLLOWING 6. y=sec'Inx

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Q: Find dy. y = 5 In (5+ x°) dy =

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: 8. y = In(2e-t sin t)

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Q: 1) (22 - ry + y?)dx - xydy 0, where y(1) = 0

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Q: dx √ex +1 S=

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Q: Evaluate the integrals

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Q: I. Find dy/dx of the following: 1. y= In 2x 2. y= (In.x) 3. y = In(tan.x)

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Q: d cosh z =sinh x dz صواب ihi

A: Use the formula of coshz and sinhz in terms of exponents.

Q: In 3 by Pots tien 3) S (4 - x)e"'dx calculate without integre (f Ju

A: Given,

Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: In (6x) to x if y = sin (5e') dt.

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Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In ( 1 + (Inx)2 + (In vx) 3 3x 2) y = tan-1…

A: Use formula of derivative  to solve

Q: 3) Find dy given 3xy = In x. dx

A: Given  3xy=lnx To find dydx   implicit differentiation is used Both sides have to be differentiated…

Q: dy y(ln y- In a+1) dx 1 C = -In 1 C = In O Option 2 Option 1 1 C =-In None of the choices O Option 4

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Q: d y' of y= In(tanh2

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Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In A + (In V) (Inx)2 2) y = tan (x*)

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Q: Find the length of the curve  y = 4 ln(cos(x/4)) from x = pi/2 to pi

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

Q: dy y(ln y - In x+1) | da

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Q: Solve the differential equation listed below:

A: Separate the variables.

Q: 9. (siny - ysinxy)dx + (xcosy-xsinxy)dy 0

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

Q: I. Find dy/dx in the following: 1. Y= sin In(x + 1)

A: To find the derivative of given function.

Q: 1 (In(11) xy e*y² dxdy

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Q: In x Find y' if y = e3 1 – 4 In x Based on your work from (a), evaluate - dx. -5

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Q: - if eV = In(x) + In(y) + e³ ху 3 Find dx

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Q: Can you help me step by step?

A: Let u=1+x^4