| cos x dx ile ( Jcos x| dx

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: dy sin x Ify= et dx

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Q: dy = Cos (x +y + 1) 15. dx

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

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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: sin x dy 2. dx 2у x2

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

Q: find dy/dx. y = cos x/x + x/cos x

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Q: cos s x dx 2. S: Vsin x

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Q: (y cos x + 2xe)dx + (sin x + x²ey – 1)dy = 0

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Q: slove the DE cos x dx/dy +ysinx =sinx cosx

A: r(x) = y'(cos x)  +y(sinx) =sinx cosx   The complementary equation Put r(x) = 0  is (cos x)y' + (sin…

Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

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Q: dy 1) = dx cos(x – y) + sin(y+x)

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

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Q: . cosx dy + y(sin x – 1) dx = 0; when x = , y= -2 %3D

A: This is linear differential equation. We will first convert this equation into simplified form and…

Q: dy y(ln y – In x + 1) dx

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Q: dy - y cos x dx = y ln [yedk COS x]

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Q: dy - y In(ye cos *)dx = y cos x dx COS X

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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: Ssin'x cosde 3. Sin'x cos dx

A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

Q: dy x+1) +1 = 2e. dx

A: To solve the below differential equation. x+1dydx+1=2e−y

Q: i y = tan-1(x)+ tan-1() dy + 10 dx

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Q: dy/dx of y=(tan^-1 (x))^3x

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Q: find dy/dx. y = 4/cos x + 1/tan x

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Q: dy + y cos(x) = 6 cos(x) dx

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

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Q: d'y -+42=sin 2x 3 dx dx

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Q: dy 2y dx = x° cos x

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Q: (y-cos^2 x) dx + cos x dy = 0

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Q: find dy/dx. y = x2 cos x

A: Here given function as Use the product rule of derivative

Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: Find dy/dx if ln (x+y)= tan^-1 (x/y)

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

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Q: a) | sin x dx Ssin'xe x+1 dx b) + 2x

A: We will use the double angle formula C=integrating constant

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: dy -y In (yecos)dx 4. COS Y sin x dx

A: The detailed solution is given below Thank you

Q: x cos z dy dx dz X Cos

A: Given,          ∫0π2∫01∫01-x2xcoszdydxdz

Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: sin x sin y dx + cos x cos y dy = 0

A: Using variable separable method.

Q: dy/dx=x3cosy

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Q: dy (2xy – sinx) = (cos y – x²) dx

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Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: (y cos x + 2xe)dx + (sin x + x²eY – 1)dy = 0

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Q: dy ху* - сosx sin x . У (0) -2 y(1–x²) dx

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Q: (2xsinycosy - x+2x²evx´ )dy =(y-sin?y -4xyex )dx

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Q: dy x- y = x.cos² ² 1- dx

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

Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: d²y dx dy – 3x- dx ential equation x².

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

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