11. One of the following could be a series solution for y + 5xy + y = 6 lnx + 4 where y (1) = –1, y (1) = 1 %3D %3D

Q: 4. (2xy² + 2y) + (2x²y + 2x) y = 0

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Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: y" – 5y' + 6y = 2e' %3D

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Q: 2 x - 1 [1 1 If A =|-3 2 and D = A + B and d,2 = -1,d31 = 2 then 1] B = y 4 Ly

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Q: For the difference equation given by y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = y(0) = 0 Find the…

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Q: (4x + 1)2 x2 - 5 Find S' if s = s' =

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Q: 2) (x² – 1)y' + 2y = (x + 1)²

A: Solve the following

Q: If y = x3 – 2x2 + 3 and x = t² + 2 find dy at t=2. dt %3D

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Q: Use Gauss-Seidel method to solve for x, X,, Xạ until the relative error falls below 5% Repeat with…

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Q: 1. If y = In(V x² +1 ) , then y' = 2x (b): 2x (a) x² +1 3(x2 +1) () 3(x2 +1)-2/3 (d) 3(x2 +1)

A: y=lnx2+13⇒y=lnx2+113⇒y=13·lnx2+1   ∵lnxy=ylnx

Q: [y] + √2x+3] dx = (2x+3)dy, y(-1) = O

A:

Q: 1- y = %3D 2yt+1 y(1) = -2 2- y'3 =? -2xy %3D 1+r2 y(2) = -5

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: If s = (x² + 1)²/3 (3y² + 8y +4) 4(3z+2) 5, find d²s d²s dy² d²s dz²

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Q: 3. Find the correct form of x(s) and stop. State x(s) as a single fraction. x" +7x' + 6x = 2t x(0) =…

A: Explanation of the answer is as follows

Q: (3x² − 2xy + 2) + (6y² − x² + 3)y′ = 0

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Q: Find the iterative scheme for the root of equation x' +3x-4 = 0 by iteration method near to 1.2. .a…

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Q: 2x-1 3 + If y = Vx2 - x then y' = 3 3 x2-x FO

A: We have given y. We have to identify y' is true or not.

Q: 6. xydx + 2(x² + 2y²)dy = 0 ; where x = 0, y =1

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Q: 5. Find general solution yu -Gy? +10y" = 0 %3D

A: Y(X) = c1+c2x+(A sinx+ B cosx) e3x Where c1,c2, A, B are constants.

Q: -1 GTiven A=( 2-니 3 ) and ()A find A -3 H possible. It not state youre Teasoniong

A: Given: A=−132−4find:A5−6=?−34A=?

Q: 5. 2x+3y 39 y-7 =-2(x+ 10) 3. y = -x + 4 y = -2x – 13 + 13 %3D # y = 3x - 13 3. "y=D- y = * + 2 %3D…

A: Given: 5  2x+3y=396  y-7=-2x+10

Q: 2 + 5r +4 h(r) = 3r + 5 3r + 10r + 13 O A. h'(r) =- (3r + 5)2

A: The derivative is computed using quotient rule.

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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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: X -is If y = x² — xy + 1, then when a = 1, d - 0-1/1/12 01/22 0-1 0-2 O nonexistent

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Q: 4. Find the complete solution of 2x³y' = y(y² + 3x²) %3D

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Q: 2. y" + y' = cscx %3D

A: 2. we have  y''+y'=cscx  first find C.F m2+m=0m(m+1)=0m=0,-1y(x)=c1e0x+c2e-x=c1+c2e-x

Q: Problems 2. (D³ + 4D² + 9D + 10)y = -24e* when x = 0, y = 0, y' = -4, y" = 10

A: Given(D3+4D2+9D+10)y=-24exwhen x=0, y=o,y'=-4 ,y''=10To find:The solution of the Differential…

Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

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Q: 1- 2- SOLUTION BY SERIES 2x² - yx + 2y = 0 dx X d²y dx² + 24 x dy dx - xy = 0

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Q: (1– 1)y' – y² +x²y+2x = 0, Y1 = -x² %3D

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Q: In each of Problems 9 and 10, solve the given initial value problem and determine at least…

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Q: 5) Use improved Euler method to find y(2) if y(1)=2 for dy xy!/3 %3D dx take h=0.5

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Q: 10. (x +y +1) dx + + 2y +3) dy = 0; y (0) = 0 %3D

A: A detailed solution is given below