when step Qal Evaluate the x²+2Xy + y? dy dx Size of x=0,2 and step size of y= 0.5

Q: dy xe dx to

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Q: Using dy 3 =dx and dx = 0.03, what is dy whenx = 2? 2V3X – 2 dy i (Write as an exact decimal.)

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Q: (a) 2-1 dx

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

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Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: Find dy/dx for the following       y=ln(x2 +1) 5

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Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: I = | In(ax + 1) dx, for a > 0

A: Find the integration of I

Q: I. Find dy/dx of the following: COS X √4-3x² 7. y In- 8. y In, 6. y = In(In x) 9. y + ln xy = 1

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Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: FIND DY/DX OF THE FOLLOWING 5. y=csc Inx

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Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

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Q: Find dy/dx for the following xVx² In y = In + 1 2 (x + 1) 3

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Q: Find dy. y=3 In (4+x) dy =D

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Q: dy Find dx y = 5 In x + 2 log 5× dy (Type an exact answer.) %3D dx

A: Explanation of the answer is as follows

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +…

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Q: If the PSD of X(t) is S„(@). Find the PSD of dX(t) dt

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Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: Q8/ Evaluate the integral: 4e* dx dy

A: According to guidelines we solve one question.

Q: 2. From the following table of values of x and y, obtain equation for dy/dx and d'y/dx? and its…

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Q: dy in terms dx of æ and y if æ In y + y = 7 ln æ. Find dy da

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Q: Find e dx approximately using Simpsons rule with n 10.

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Q: Use this information to evaluate 1 (1- e)| dx %3D x=1 et - 1

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Q: FIND DY/DX OF THE FOLLOWING 6. y=sec'Inx

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Q: 2. Find an expression for dy/dx on the curve x In(y) + x³ – 2y = 6.

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Q: dy dx=? 3.

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Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: 13. Find dx/ dt and at di/a dx in terms of x when x'6t=18 x'6t= 18

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Q: Ex.1. Use Euler's method to determine an approximate x=0.2 from the IVP dy = = 1 -x + 4y, y (0) = 1…

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Q: II. Find dy/dx of the following functions: 4. ytan (tanh.x) 5. y=e³x sechx 6. y = √sech5x

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Q: II. Find dy/dx of the following functions: 1. y = cosh √√4x²+3 2. y= sec hx² x² +1 3. y=xcsche4x

A: See this solution in below

Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: Use Euler's Method to approximate y(10.8) with step sizeh 0.2. dy = 3y + x- 5 y(10)= 0 %3D dx

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Q: Find dy/dx at the given point without first solving for y. xy2 = 27 at (3, 3) xp ||

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Q: t seel dx

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Q: d y' of y= In(tanh2

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Q: ich option is an antiderivative of Sar 3x cos(-2x) dx a. 3 9.

A: We will use integration by parts to find the answer.

Q: dy Find y(0-2) by using Euler's method for y=1 for x= 0. log10 (x+y) with initial condition %3D dx

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Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: Find dy/dx for the following xVx? + 1 In y = In| (x + 1) 2 y = y - + x2 + 1 3 (x + 1) Option 1 y =>…

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Q: Incot3x dx sinh e* 1+9x

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: 1. y = In (12x)

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Q: In x Find y' if y = e3 1 – 4 In x Based on your work from (a), evaluate - dx. -5

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Q: 1+x Find the approximation of dx using Simpson's rule with step size h = 1+x2 0.25.

A: Simpson's rule: numarical methods

Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives