of fxyl = 3X-y+6 Subjected QI Find to x+y=4 extrume v alues

Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Express the general solution in terms of Bessel functions: z²y" + 4xy/ + (x² + 2)y = 0

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Q: Find a general solution of each reducible second-order differ- ential equation xy" + y' = 4x

A: We have to find the general solution of the given second order differential equation.

Q: Find the antiderivative of xe2x/(1+2x)2 from 0 to 1/2

A: Given the integral ∫012xe2x1+2x2dx

Q: b) Golve: 4x°y*+4x°4- sx y' + 24= 60x?+8x +1 on Co,00) (2) vsing the Method of Uaniation of…

A:

Q: 2) Obtain the DE with respect to x of (x - h)² = 4(y-k).

A: Sol

Q: 1 (b) Evaluate the integral S ; dx 2x2-12x+26

A: To evaluate: The integral of . Formula used: Integration Formula:

Q: Find the general solution of 2x°eWx + x³y²_ y x*y x + y Сх— х In(x?), a) Oy= In x + y Сх- х In(x?),…

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Q: Use two different methods to calculate dzu/ar if u = /x² + y². = est, and y = 1 + s² cosz. IUse two…

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Q: What is the general solution of the following ODE y' - (2y/x) = 3x3 Hint: Use integration factor…

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Q: 11. Verify that wxy = Wyx for w = e* + x ln y + y ln x

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Q: 4. Find dy and Ay for y = 3/ – I+ 2x at r = 2 with da = Ar = 0.2.

A: Consider the following information: y=3x-1dx=∆x=0.2 Differentiate y with respect to x: dy=32x-1dx dy…

Q: 2. Used Euler's method to approximate y (0.5) and y (1) for the I.V.P y' = y + xe2x, y(0) = 1.

A: Given y'=y+xe2xand y0=1

Q: 8. Evaluate the integral S xydx from x=3 to x=6 when x = 6cos0 and y = 2cose A. 9/7 B. 9/3 C. 5/3 D.…

A: Topic:- integration by substituting

Q: 1. Obtain the General Solution. Use reduction to exact. Simplify your fin y(y + 2x- 2) dx - 2(x +…

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Q: Solve the ODE: dy (x' +4x) 0 using separable variable method: dx x(sin 2y +4)

A: The differential equation is as follows : dydx-(x5+4x)x(sin2y+4) = 0 Hence we get dydx =…

Q: Find a general solution of each reducible second-order differ- ential equation y" = 2y(y')3

A: Given the differential equation:

Q: S S§y²cos(xy)dydx

A: we have given,                 ∫x =0x=1∫y=0y=π4y2cos(xy)dydx After arrangement,…

Q: (2) y(x) = 1+1 So (1 – 3xt)y(t) dt

A: Given that the equation is yx=1+λ∫011-3xtytdt Let take Kx,t=1-3xt Then yx=1+λ∫01ytdt-3xλ∫01tytdt. So…

Q: 3. Find for the simplified general solution of (1 + x³)dy – x²ydx = 0 a. Iny =In(1 + x³) + C b. Iny…

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Q: 1 z = Vuv, u = 3xy + 2x2 + e"-Y Find zzy at x = 1, y = 1

A: Topic:- function

Q: The general solution to: y'' – y' + 4y = 0 %3D is: y(x) = %3D Typle c_1 and c_2 to get c1 and c2 and…

A: We have to find the solution

Q: i) ais f(x,y) = x2 + 3xy + y -1 Laalic * Te Te

A: Given that  Af(x,y)=x^2+3xy+y-1  To find the partial differentiation of f(x,y)

Q: 1. Evaluate 5 S Sx (x + 3x)dydx

A: Given, ∫05∫0x x(x + 3x) dy dx=  ∫05∫0x (x2 + 3x2) dy dx=  ∫05 ∫0x (x2 + 3x2) dydx= ∫05 ∫0x 4x2 dydx

Q: 5 By separation of variables, Solve the followin PDES :- du dt d2u dx2 @ o U (0₂t) =(4,t) = G u(x,0)…

A: Given is the Partial Differential equation ∂u∂t=2∂2u∂x2…

Q: Y 30 ΨΥ Ỉ2 2 47 13 23 24 με χ ΕΙΝΑΙ Fino η Exy. ἐκ ἔγ In ex² - (Ex)^ in [y- (fy) th nexy- έχτι…

A: Given information: X Y X^2 Y^2 XY 27 30 729 900 810 44 19 1936 361 836 32 24 1024 576 768…

Q: 6 If the substitution y = xº is made, the 64 3√√y 3 + √√y integral [ 1 dy will become

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Q: S de x² –2 x+1 A x2 --x - In Ix + 11 + C C x2 +x - In Lx + 11 + C B x² -x + In Lx + 11 + C x2 +x +…

A: Given ∫x2-2x+1dx. The objective is to evaluate the integral.

Q: 2. Given y' = x² + y . With y=-1 when x=0. %3D Calculate y(0.4) and y(0.6) using modified Euler…

A: The given problem is to find the values of y(0.4) and y(0.6) using modified Euler's method for given…

Q: 2 2 x+y e to pday dyd x |-X

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Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D…

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Q: Use the backward Euler method with h = 0.1 y'(t) + 1000cos(y(t))-100t = 0 y(0) = -0.5   find y(2)

A: Given y'(t) + 1000cos(y(t))-100t = 0 y(0) = -0.5and h = 0.1

Q: Evaluate the integral. 2 2 t+ dt 15 OA. 29 О В. 6

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Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: () fiz) - y-2xyy ti(-x+ x² y+) + z* そ=メー *y メ eうあ* *y* (-anaty'n g) u cory) +i vexy) 三 wy) = *y*x ;…

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Q: Find a general solution of each reducible second-order differ- ential equation y" = (x + y')²

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Q: 1. Determine the general solution of (x 3y )dx – x dy = U

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Q: 4. Find dy and Ay for y = 3VT-1+2x at r = 2 with dr = Ar = 0.2. %3D

A: The given equation is y=3x-1+2x. Given that x=2, dx=△x=0.2. Now,…

Q: Prove that (y – æ)(y + 3x)³ = cx° is a solution to 3x2 – 2xy + 3y² )dx = 4xydy.

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Q: Evaluate the integral: [(4 t³ - 9)i+sec² t (t³+4)3 k]dt +

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Q: 1.) 201 4sin (x) cos (x) dx dy 0 y² + 1 [¹ylnª (y² + 1)

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Q: 4 VI 2. Evaluate the integral: xy dydx. 2

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Q: 3 Find absolute extrema for fCx) = x°-9x´+15x -3 %3D in terval [o,3] Oへ

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Q: 3. Express the general solution in terms of Bessel functions: z²y" + 4ry' + (x² + 2)y = 0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: th 2 Evaluate khe fulawingcartesian integrat by changing theminte equiv alent Pelarintegrals: E 4-y…

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Q: التاريخ H.w: Campute y fas) With -xýet-x)e | Find @ Euler pc

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Q: ne differential ay of 'uonpuni y = V 5 - x2

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