(D'+3D+2)y=e

Q: Ssin(2x)dx = cos(2x) + C cos(2x) 2cos(2x) cos(2x) + C O 2 cos(2x)+ C -

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Q: Find dy/dx at x=0 if y= Cosu and y--3x

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Q: Find dy/dx if y2=x2+sinxy

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Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: find particular solution of (16x+5y)dx+(3x+y)dy=0. If the curve to pass thru the point (1,-3)

A: Given: 16x+5ydx=-3x+ydydydx=-16x+5y3x+y               It is a homogenous differential equation.…

Q: Find dy/dx if  y2= x2+sinxy

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Q: x3sec2y dy/dx+3x2tan y=cos

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Q: 15 dy dt 2-

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Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: tanx dx = -In/secx|+C^O .BO In|secx|+CO In/cscx| +CO -In|cscx|+C°O .D

A: We need to evaluate the following integral I = ∫tanxdx

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: Evaluate f, f,(1-2) L(-dy dx dz

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Q: Find dy/dx of y=sin-(1/,). 9x-

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Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

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: find dy/dx

A: y=∫sec x21t2+1dt.

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

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Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

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Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: Find dy/dx by implicit differentiation. 6,,3 x°y - y = x dy/dx

A: On implicit differentiation we differentiate both sides of the equation with respect to x . Then we…

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: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: dx 2.

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Q: dy/dx of y=sec^-1 (5x)

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Q: Intergrate:

A: To evaluate the integral.

Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

Q: 3z cos(z)dz

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: Find dy/dx by implicit differentiation. 19) x3 + y3 = 5 20) 2xy-y2=1

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Q: – cos(4x) dx V 1+ cos(4x) d 1-

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

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Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: х2 9 dy + sinx - у %3D0 dx

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

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Q: dy/dx of y=5^cos(3x+5)

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Q: dy+チ=-

A: Note: Since you  have mentioned multiple question, I answered first problem. If you need answer of…

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

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Q: Obtain the general solution to the equation. 3. dx - (у — 2ху)dy

A: Topic - differential Equation

Q: Find dx if 2 siny dy 3 Log (y1)

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Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: (у-sinx) dy + dx = 0.

A: dy+(y-sinx)xdx=0⇒(y-sinx)xdx=-dy⇒(y-sinx)dx =-xdy⇒ydx-sinx dx =-xdy⇒ydx +xdy = sinx dx⇒d(x·y) = sinx…

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

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Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

A: