dy cosh x dx + y sinh x = 2 cosh x sinh x

Q: 1 =dx x+v cos(2x) > [1] S > [2] S dx sinx+cosx

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Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral

Q: 3. sin x cos y dx + cos x sin y 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: (sin y – y sin æ)dx + (cos x + x cos y – y)dy = 0

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Q: dy by implicit differentiation. dx Find cos(x + y) = sin(x) + sin(y) dy dx

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Q: g) y ext= cosh x + √cosh²x -1 +7 ex е X h) (3 x y² + 4y) dx + (3 x²y² + 2x) dy = 0 I) sin x dy dy -…

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Q: sinh z 2) G Cosh z 3) d Coth 2 4) Tanhz A cschz 5) dz Camscanner l

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: dy by implicit differentiation. dx Find y cos(x) = 4x2 + 5y2 dy dx

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Q: cosh x dy + (sinh x)y = e-* dx

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Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

Q: y dy sin x dx y = sin+1 x X

A: As give equation is homogeneous differential equation so we need to use substitution to convert it…

Q: 7 Find dy (b) x siny-ycosx-y = 1. dx

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Q: sin x sin y dx + cos x cos y dy = 0 2 mydx — пхdy

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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: 1. . sinx siny dx + cosx cosy dy = 0

A: According to our guidelines, we can answer only one question . Kindly repost the other questions.

Q: *+1 dx = 0 3- xex dy +- y

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Q: integral (dx/(√(x)+x))

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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: 2. (y² cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: sin y(x + sin y) dx + 2x² cos y dy = 0.

A: Given equation is  siny(x+siny)dx+2x2cosydy=0

Q: dy x(2 In x+1) 1. dx siny+y cos y

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 9. sin y = In(x +y)

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Q: dy cos(x)–+ y sin(x) = sin²(x) cos(x) y³ %3D dx

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Q: (x² cosh(sin(x-y))= intx-vn) = X' dy 9.

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Q: dy +2=sinx dx x

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: (sinx+1) y = (cosx+1)' dy evaluate dx

A: We have to find the derivative

Q: (3 sin y – 5x)dx + 2x2 cot y dy = 0 -

A: Solution :-

Q: dy cos x + v sin x = sin x cOS X dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Sinhx cosy dx = coshx siny dy

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Q: (3 sin y – 5x)dx + 2x² cot y dy = 0

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Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: 6) S sech? (2x- 3) dx | ex-e-x 7) S ex+e-x 8) S(eax – e-ax) dx sinh x 9) S dx 1+cosh x 10) ſ csch? x…

A: Given

Q: (sin y- y sin x)dx + (cosx + x cos y)dy = 0

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 8) S(eax - e-ax) dx 9) S; sinh x dx 1+cosh x

A: Answer to question number 8 and 9 are as below,

Q: (2y sin(x) cos(x) – y + 2y e) dx = (x – sin (x) – 4xyey)dy.

A: the differential equation Mdx+Ndy=0 is exact when ∂M∂y=∂N∂x where M and N are functions of x and y…

Q: 2. sin x siny dy + cos x cos y dx = x² sin x cos y dx

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Q: dy - sin x sin y dx = x² cos x siny dx

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Q: Find dy/dx by implicit differentiation. tan(x − y) = y / (3 + x^2)

A: I have stated the used formulas in the solution.

Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

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Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: 3. sin x cos y dx + cos x sin y dy

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Q: dy by implicit differentiation. dx Find x°y – xy9 = 3 dy dx

A: Solution:

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: 3e° 3ecsch 3x 11) -dx sinh 3x tanh 3x

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Q: [cos y + 1]dy + [tan x (sin y + y)]dx = [sin y cos x + y cos x]³ dx gettyimages When:x= 0; y = 2

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Q: 3. sin y(x+sin y)dx + 2x² cos ydy = 0 0: uhen v-2

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Q: dy sin: 8. x +2y = dx y(2) = 1

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Q: dy Find dx 2. y = tanh-'(cos x) 3. y = cosh-1 VI

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