82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.

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Q: 21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

A: Step-1 f(x,y) = 2x-y            y ≤ 4x+6 ⇒ 4x-y ≥-6            x+4y ≤ 7           2x+y ≤ 7…

Q: 2. Find the solution of 25y" + 20y' + 4y 0 given that y y-0 when z 0. %3D

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Q: (11) Evaluate [[3x+5y+i(x²-y') dz along y=x (0,0)

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Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

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Q: y(3) for y' = xe3x - 2y, y(0) = 0 by using Euller's method. h = 0.5

A: Here I write a small piece of python code to solve this problem.

Q: 2. x + 5y +15 z + 35 w + 70t = 0 X + Y + z + w +t =1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w +…

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Q: Solve for x, y, z and w by Gauss elemination Method. Given: 12x-8y+6z+10w=26

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: Find y(3) for y' = 1 + (x-y)2, y(2) = 1 by using Improved Euller's method. h = 0.5

A: Given  y'=1+x-y2 y2=1, h=0.5 We will find the value of y3

Q: 2. X + 5y + 15 z + 35 w + 70t = 0 x + y + z + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z +…

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Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z +…

A: We have to find the solution of the linear system.

Q: -5-S"S, ((m-3)x²+m(m -! x- Yy)-4myx] dydx 2,3m

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Q: 1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when…

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Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: Consider the IVP: y= 3z – 4y-2, y(2) = 3. A) Use Euler's method to obtain an approximation of y(2.4)…

A: The given differential is y'=3x-4y-2  , y2=3 we know the Eular method is yn+1=yn+hfxn,yn

Q: use Gaussian Jordan 2メ+4y+ 6Z = 18 4x+ Sy + 6Z = 24 3x + Y -2Z =4 thy answer should be like this:…

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Q: 2. Obtain the general solution of the following equations: (i) x²uxx + 2xyuxy + y²uyy + xyux + y² uy…

A: If you want I solved other option please post it again

Q: 3. If 4=(x+2y+az,bx– 3y-z,4x+cy +2=) is irrotational. Find constant a,b,c.

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Q: Find the general/particular solution of the follow 1. xy' - y = 2x Inx 2. (1+ x)y' +y = vx 3. t+2y =…

A: The general solution of the differential equations

Q: Solve du a²u k xe (0, L), t>0 ôu (0.1)- ĉu (L,t) = 0 ди (0,1): Əx 87x - 3 сos L 3n x u(x,0) =…

A: Given: The given heat equation is ∂u∂t=k∂2u∂x2, x∈0,L,t>0. ∂u∂x(0,t)=∂u∂x(L,t)=0

Q: M. -5z + 11 2² - 10z + 21 Iz 61 2 dz Use any of the results in this $ (a) -12ni (b) |z| = 9 33 Book…

A: We have to solve the given problem.

Q: If q x2 yz3 %3D =, the small increment in q with &r=8y=8z=±0.1 can be approximately calculated by…

A: We will use partial derivatives to calculate the required quantity.

Q: How would you interpret the coefficient of β2 in each model? Ln(Y) = β0 + β1 Ln(X1) + β2 Ln(X2) +…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

A: Authoring guidelines:…

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: 30z2 – 23z + 5 Evaluate J (2z – 1)²(3z – 1) dz, C : |2| = 1 (counterclockwise). |

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Q: 2 (4-х2 2 The integral LG. -(x² + y² ) dzdxdy is Vx² +y? -2 J-/4- 2 C[* dzdrdo .3 dzdrd0 2 •T/2 2 p³…

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Q: :Max z=6x + 8y subject to x +y 0, y=0.

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Q: Show that y=lnx is a solution of xy’’+y’=0 on interval (0,∞) but is not a solution on interval…

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Q: 3. Obt nin the parh cular folu tion 9. xdx - ydx + 3x dy +ydy = 0 ; wun x - 5,4= -:

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Solve for y only using Cramer’s rule if: x + y + 2z = 3 2x − 3y +z = 0 3x + 3y +z = 5.

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Q: Solve for x,y,z if x+ 2y + 2z=0 2x + y + 2z = 0 2x + 2y + z = 0

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Q: Use one step of Euler’s method to approximate y(0.1 + π/4 ) if y′ = xsin(x + y) and y( π/4 ) = 0.

A: Use Euler method

Q: 1 Q4- If you have 1 then x ... And y = %3D x+iy 1+2i

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Q: 2 Verify that for r > 0, y = r is a solution to yy = x. V3

A: Double differentiate to prove the given

Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Given y'+yx=x-3   if y0=2 To find the general solution

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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Q: az (b) Solve and ди by applying chain rule if z = In(x² – 2y), and x = u + v, y = e". dv

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Q: For two independent lives age 40, you are given that mu40(t) = 80-t for t< 60. Calculate…

A: Solution

Q: find the first and second derivativ of y with respect to x y=x^3-9x^2+15x-5

A: Given:       y=x3-9x2+15x-5 First derivative:     differentiating with respect to x.…

Q: Is a solution of the diffrntish epuation 1 yy'= -X+ with y E € ]_9,GE with x € C-G,G] 2. 3)yy:…

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Q: 2. Given that yı= x2 is reduction of ordle to find solution of xzy+ 2xy-by-0 use second soution Yo.

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Q: Find all the local maxima, local minima, and saddle points of the functions in Exercises 11-20.

A: (10)Consider the provided function, fx,y=x2+2xy Find all the local maxima, local minima, and saddle…

Q: b) y = -x -1 -u) 4 = 3x +5 -ài) a) 2x +3 %3D y = 4x -) -ài, Bub ci) from il cis from ei) Sub = 4n -…

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Q: Find general Solution of y + +y+ 4y = Ct1)e Using method of vanafion.

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Q: 4. V21+4:-z dz

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Q: Solve the second-order DE y"+2y'+4y= g(1), y(0)= 0, y'(0)=1, where 2, Ost<2 g(1) ={-2, 2si<4 0, 124.

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Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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Q: u = 4x2-x+8  and y = u4 Find dy/du

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