(a) y "'+8y "= 2+9x – 6x ² -

Q: Solve y" - by'tlly - Slt-1), ylo)= 1, y'lo)=0 ylo) = |

A: The given function is  y''-6y'+11y=δ(t-1) The initial conditions are, y(0)=1, y'(0)=0 We find the…

Q: 1- y = -y² 2yt+1 2rv y(1) = -2

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Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: Find the particular solution for: 3x²y' 5x - 6xy, x 2 when y = 1 %3D

A: This is linear differential equation. We solve it by finding integrating factor.

Q: - y² + 22 = 169 at (5,0,12). %3D (1) . i+3 3 3 -) i+ k, 6. 12 12 =) i+k, (d) k. i+

A: In this question, the normal to the curve is calculated using the finding gradient of the function.…

Q: -2xy 3) y' = iy = -5 when x = 2 Ans: exact; x²y + y = -25

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Q: 3 1) y=--x-1 2 A) B) C) D)

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Q: D'-2D +D)y(x) =1

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Q: Čonvert the following equation into standard form. 7x y = - - 3 %3D 2 [?]x+ [ ]y = [ ]

A: The given equation is y=-7x2-3

Q: (x - 1)'y"+ (x³- 1)y' +y = 0 I3D

A: Given,       (x-1)2y''+(x3-1)y'+y=0    at    x=1

Q: 3x + 나y는 10 to Qx +3y = 7 %3D

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is  augmented matrix is

Q: YA x = y² – 4y (-3, 3)* x = 2y – y?

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Q: Q2. (a) dy = (x + y + 3)² (b) 2xy4 = 4x² + 3y?

A: Given that a)dydx=x+y+32 b)2xydydx=4x2+3y2

Q: dx x3+27 8. Evaluate

A: We have to find the integral

Q: Y(2) 16z %3D Z. (2+1) (42-1) (2г—1)

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Q: x- y+ix² )dz vill be

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Q: X+y+2z=9 2x +Hy-32=1 3x +6y-52=0

A: Total Equations are 3x+y+2z=9------(1)2x+4y-3z=1------(2)3x+6y-5z=0-------(3)

Q: (a) x²y "-xy '+ y = Inx %3D

A: According to our guideline, We can solve only first question of multiple question.So here we solve…

Q: Fin (x ¯+y¯) 2 x+y?

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Q: y²-6x²y=-9x ; y' at (1,3)

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Q: 8. (D2- 2D+ 1)y = xlnx

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Q: x = u3 + 7 ; y= 6u? – 1 d²y ---> dx2

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Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

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Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

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Q: If y = sech (kxN) and (1-289 x26 ) (y')² = A Then A =.....

A: We know ddxsech-1x=-1x1-x2 By chain rule ddxsech-1f(x)=-f'(x)f(x)1-{f(x)}2

Q: If y = (x+1)/(2x - root x' then y' will be?

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Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

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Q: * dy -a 2. 2xydx 2) yy +36 X =

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

Q: 4. y = 5 tan 3r 2-

A: y=5tan3x

Q: Ve da 6. Given x=- 1 a = 3x +2x-1 and and y=- find 2 de c-4

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Q: 8r2 te V1-4.a

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Q: 7. x+y (2r+2y-x) at (0, %) +y 4 at (-3v3, 1) 8.

A: The function f(x,y) is a rule that associates or fixes a number to a particular point (x,y). The…

Q: 2- x*y' y + xy' = 1 3D1

A: Given:        -x2y2y'+xy3=1

Q: find the area of the shaded region

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Q: Find x and y in terms of a and b. ax + by = - 5 bx + ay = - 5 %3D

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Q: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: 9-2-y (x² + y² + z*)% dzdydx

A: Given integral is ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy dx Take  I= ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy…

Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

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Q: [y(8y² -5)dy 4y* -5y? +5 1.

A: We can find the answer as below

Q: 4. Perpendicular to x - 3y = 2 and passes thru (-3,5)

A: given that a line is perpendicular to the line x-3y=2 and passes through the point (-3,5). we need…

Q: vz 3y 8-x2-y? 1. dzdxdy 0 0 x2+3y2

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: d. xy' – y – 5xª – 3x² + 2x = 0 when x = 1 and y = 2 -

A: It is the linear equation of first order.

Q: yA x= y² – 4y (-3, 3) X x = 2y – y?

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Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

Q: S- 2dx X(3(Inx)*+121nx-15)2

A: Use the substitution and make the given integration in standard form than solve .

Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…

Q: y"-y' – 6y = 3x? x – 1 - -

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

A: