y' = y tan x – y² sec x

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

A:

Q: (cos x cos y cotx) dx - sin x sin y dy = 0. -

A:

Q: integral (cos(x)^1/2)dx

A:

Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

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A:

Q: cos (x² + y') = x - lg Find dy using implicit differentiation: 2. %3D dx

A:

Q: Solve using Substitution Method. y(x Tan x + In y)dx + Tan x dy 0

A: The substitution method as follows, y (x tanx + ln y) dx + tanx dy = 0

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A:

Q: .3 Cos x + cos x dx Vsin a 3,

A: Given…

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A: Given: y=x2-sinx

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A:

Q: Find - by implicit differentiation. dx = y² + 2 x + y dy dx

A: differentiate wrt x

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

A:

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: ind the Dx [y] by implicit differentiation of x2+5y2=3y3

A: The objective is to find the implicit differentiation of x2+5y2=3y3 with respect to x.

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

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A:

Q: sin(y)dx + cos(y)dy = 0 by exact

A:

Q: Find Differentials Function y = √x        Derivative dy/dx = 1/(2√x)             Differential y =…

A:

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

A:

Q: Find dy/dx of y = sin(x)tan(x)

A:

Q: dy by implicit differentiation. Find dx 4x3 + x?y – xy3 = dy dx

A:

Q: (sin y – y sin x)dx + (cosx + x cos y)dy %3D

A: siny-ysinxdx+cosx+xcosydy=0An ODE Mx, y+Nx, yy'=0 is in exact form if the following holds:1.  There…

Q: 7. Find dx2 by implicit differentiation of xy3 = 1+ y* 1+sec y

A:

Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

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A:

Q: (dy/dx)tan x sin 2y = sin^2(x) + cos^2(y) differential equation

A: Solution is here

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…

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A: Solution :-

Q: dy implicit differentiation to find dx x-y = tan(x + y)

A: We have to solve

Q: dy Using implicit differentiation find at the point (0,1) for dx ysinx + xy3 = 5

A:

Q: find derivative  1. y = ln (3ue^-u)    2. y = ln (2e-^t sin t)  3. y = e^sin t (ln t2 + 1)

A: find derivative

Q: cos(xt) cos (sin(at)) dt D. tan x dx =

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

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A: Given tan (x - y) = y/(5+x²) Find dy/dx

Q: find derivative    1.y = ln (cos^2 u)     2. y = ln (3te-t)    3. y = e^(cos t + ln t)

A: Differentiating y=ln(cos2u) with respect to u using the chain rule.Consider t = cos2u then y =…

Q: Find dy/dx by implicit differentiation. tan−1(2x2y) = x + 4xy2 y' =

A: Explained below

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A:

Q: Find dy dx if sin(x + y) = tan(xy)

A:

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A:

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

A:

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

A: Evaluation of the above integration is

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A: we have to integrate

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A: The detailed solution is as follows below:

Q: Test for homogeneity

A:

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A: Given : Two integral equations given

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A:

Q: Find Differentials Function y = x2        Derivative dy/dx = 2x                 Differential dy =…

A:

Q: (2xy – tan y)dx + (x² – x sec² y)dy = 0

A: Solved below