1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

Q: first derivative y= 4in Gty) is dy 4.

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Q: dy Use implicit differentiation to find dx 3х- 2 4y23= 3x +2 dy

A: Given that  4y^2=(3x-2)/(3x+2) Differentiate the function with respect to x

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: dly dx2 - 2 dy dx -3y = COS X

A: The given differential equation is d2ydx2-2dydx-3y=cosx. We have to find the solution of the given…

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

A: Given…

Q: 2. dy dx

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Q: 2 iii. sech x3 tanh( x3 S- -dx 1 X3

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Q: find dy/dx of y=cos2x-sin4x

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Q: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx

A: Homogenous differential equation: Let us consider differential equation of the form…

Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

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

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

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

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Q: dy/dx of y = (x^2)cos^4(x)

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Q: (cos 2y - 3x²d²)dx + (cos 2y − 2x sin 2y − 2x³y) dy = 0

A: The differential equation is given as cos 2y - 3x2y2dx+cos 2y - 2xsin 2y-2x3ydy = 0 Compare it with…

Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: Find dy/dx for x⁴+siny=x³y²

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Q: find dy / dx by implicit differentiation.

A: Given equation is x4y-8xy+3xy2=9. To find dydx. Solution: Power rule of differentiation states that:…

Q: Find dy/dx at the given point. 7x2y4=9-x2-9y  at (0,1)

A: Given: 7x2y4=9-x2-9y We have to find the dydx at (0,1)

Q: Find dy/dx by implicit differentiation. 3x2 - 3y2 = 16 %3D dy/dx =

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Q: 1. cos(xy) + secy = 5 2. Arcsin(x/y) = 4x + 3y 3. 4ln(Arctan x) = 1- y 4. y = 5/(sin3x +cos3x) 5.…

A: we have to derivative two times

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: sin(6y) sin(8y) dy.

A: Topic - integration

Q: tan(3x + 8). Let y : Find the differential dy when x = 5 and dx = 0.4 Find the differential dy when…

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Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: 1 point) Find dy/dx by implicit differentiation. 2cos(x)sin(2y)=−4 dy/dx=dy/dx

A: It is implicit differentiation.

Q: = Solve: Cony siny dx + dy. cosr sinx

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Q: Find dy/dx by implicit differentiation. 2x3 + 3y3 = 64

A: Given: 2x3+3y3=64 for finding dydx, we differentiate given expression

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 3. у?dx— x(2х + Зу)dy %3D -

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Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

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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: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: 3. f sin³y(2-3cosy)² dy

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Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)

Q: х2 9 dy + sinx - у %3D0 dx

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Q: dy Obtain general solution of- 3/xy dx

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Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

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Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

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Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

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Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

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Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

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