2= S<(-t) t Sx Tb+ Sx n find the fourth %3D denivative

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

Q: Find the antiderivative of the functions. S 6x dx S(12x - 5)dx S 3dx S(2x2 + 3)dx 1.) 2.) 3.) 4.)…

A: 1. ∫6x dx2. ∫12x-5dx3. ∫3 dx

Q: xsin-1x > [4) S*s dx [4] S Y1-x2

A: Here is the solution

Q: x dx 1) S*d 2) S x²cosx dx tanx dx 3) S In(secx)

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Q: : Solution of ydx – xdy + (1+ x2)dx + x2sinydy = 0 is

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Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

Q: S(8x3 + x-3)dx

A: Solve by integration

Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

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Q: S. y dk t x dly luhere L=

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Q: dy of x3 +v³ = 4 of X + dx Find O x? y² ,2

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Q: 13. x² + 9 dx

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Q: 4. Integration by Inspection y (2xy+ y²) dæ + x (y² – x) dy = 0

A: Differential equations

Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: n/3 SS ycos(xy)dydx= - π/ 3

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Q: dx 2xVIn x (b)

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Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: Q4 Find dy for all of : dx 2- y = 3 x(x-2) x2 +1 1- y = xvInx

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Q: Given そ< fcx)59 for S5 xs6 estimate the volue of s f cx) dx 5. S. foo dx s

A: Here we will have to find out the upper and lower limits of the integration for the given limit of…

Q: O g(x) = (3t+ 2) dl t %3D

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Q: Using Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: We need to use here, the trapezoidal rule.  ∫ydx = h/2 [ y0 + y4 + 2 ( y1 + y2 + y3 ) ]  For this…

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

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Q: 2 6x? Find dy for y = x? 6x + 7 dy =

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Q: QI Find dy for 2y2/3+xy3/20 x 0

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Q: Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

A: Given that: k2dx+(x-y+k)2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvlnx 2- у %3 V x2+1

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Q: In the function given. Evaluate the integrals.

A: ∫36-3gxdx=∫36-3dx·∫36gxdx Also, ∫36gxdx=1

Q: x – dx х — 7

A: Given, ∫xx-7dx    We have to find the antiderivative.

Q: Find the general solution  ytan2x dx + ln4 ydy = 0

A: We will use variable separable form to find the general solution of the differential equation.

Q: sec z dr

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Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx - (3x- y – 4)dy = 0 %3D

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Q: 4a 2vax Change the order of integration and evaluate " La xy dy dx 4a 4ax

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Q: 1 Given y = 3x5 + -, dy is equal to 2x3 dx

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Q: Find the most general antiderivative, (5e 3x -4 e-X) dx

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: Find the antiderivative dx/(x2+4)3

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Q: ſx = s² – t² . z = 2x – 5y, ly =s•t³ · t3

A: We find complex function

Q: xy3dy − (x4 + y4)dx = 0 find the general solution of the differantial equatiton

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Q: se the method of variation of parameters to determine a particular solution lo the given equaliol…

A: we have given the differential equation y'''-15y"+500y=e10x we have to find the particular solution…

Q: X+3 Q4) Find the integration by using: dx J 2x3-8X

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Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

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Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

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Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0.

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Q: -8 dx c – 2)(x² + 4) an upper-case "C" for the constant of integration.

A: We use partial fraction to find integral

Q: x. e²ydy + (*²*¹) dx = ( 0 (Variable separable)

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Q: Q4/ A/ Find the integration for the following functions (chose three) 1- sa (3x³+3x-5x²) dx 2 - S 2x…

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Q: x+4 ] Find y' of y = ln Vx-4

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Q: dy Find the general solution of (x² + 4). = xy. dx

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