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

Q: (х+ siny)dx+ (хcosy— 2y)dy 3D0

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Q: 2. 2x?cos y dy + sin y ( x+ siny)dx

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Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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

A: Given…

Q: 2FI 2 sin nx dx cos nx dx =0, where n integer. %3D !! 0.

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

Q: tan-1 y y² +1 tan-1 y ) dy

A: We’ll answer the second question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

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Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

Q: (2y cos y - x secy-x tan y)dy = (1 + sin y) dx

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Q: dy x COSY dx - siny=0 6 xcos)

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Q: (cos2y — 3x*у-)dx + (cos2y — 2хsin2y — 2x3у)dy — 0

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Q: 2. [2x*tan y – ysin (2) – 1] dx + [xsin (2) + x*sec*y] dy =

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Q: sin x dy Given: y = Compute for dx 1-2 cos x

A: The given function is y=sin x1-2 cos x

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

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

Q: 4 Find dy/dx for: y = sec?x- tan²x b- y = sec -x) C- y = sin(tan(3x))

A: It is asked to differentiate the following functions with respect to x: a) y=sec2x-tan2x b)…

Q: dy Find for y = - 19x+3 cos x. dx dy

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Q: 1 Cos(2x)dx 0. (i) Using composite Trapezoidal rule with n = 2, 4

A: As per the policy of bartleby the provisions is to solve only one question at a time So I am solving…

Q: Find dy/dx of y=sin-!x+cos -!x dy/dx is Blank 1.

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Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: iii- y +y tan .* sin 2x, y(0) = 1. (Bernoulli Equation) %3D

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Q: x + y sin 2 ) dx x sin 2 dy = 0 -

A: The solution is given in the next step.

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

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Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

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

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Q: 7. 2r tan y dx + sec² y dy = 0

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Q: 19. i) Differentiate sinx with respect to x from first principle 1+3x dy ii) Find, dx when a) y (x…

A: Part i,Given,          fx=sinx

Q: 5 dy of: y = |x sin 2 + tan (x") dx 4

A: Given function is y=xsin2x+tan4x75 We have to find dydx. Here, we have to use some rule of…

Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: 8. [(cos'y- sin'y)dy

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Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: dy Y - sin sin-* = 0 ソーx || dx 3.

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Q: (一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

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Q: Find y' and y". . sin3y=x²+tany+1

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Q: 7T, 0 cos( {*) cos(2y)dx 2gin( gx) sin (2) dy 77

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Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: 1 -dx= cosº x/2sinx 5 /tanx+=Vtanº x + C А. Vtanx+/tan5x+C 1 B. tanx +÷Vtan° x +C С. 2 2 tan x +C 1…

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Q: 1- Sinx + Cos2y=0 dy dx

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Q: cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D

A: Let's find.

Q: Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin…

A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

Q: Dy/dx of tan y=ln (cos2 y/ 1 + sin y)   - x

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Q: Obtain the solution (3tan x-2cos y) sec^2x dx + tan x sin y dy = 0

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Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) =…

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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: +2e* +sin x)dx a. 3t + b. dt с. sec 0(sec 0- tan 0)d0

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Q: 1) S 2 sec y (tany – sec y) dy

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

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: 4. cos x dy + y(sinx- 1) dx = 0; when x = n, y = -2

A: (4) To find: The solution of differential equation. Given: The differential equation is…

Q: (y cos x + 2xe") dx + (sin x +x²e + 2) dy = 0; when x = 0, y = 0

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