, y = X = t+2 t+2,

Q: 1. If y = 3x + 2x3 - 3x + 2 find Set A. d'y/dx?

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Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.

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Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: 6. S -3dy 2y2+14y+70

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Q: 5.Find f, L L*(x² + y² )dydxdz

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Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

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Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: dy りー! り(-)ニ。 x+3 2, xy' =1+X ら(4)=0

A:

Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

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Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

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Q: 2. / Vy² – 4y + 10 dy

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Q: Find ax dy x-2–1 given y = 2x3

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Q: -12 XY and y=-S whenxe4

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Q: f (x, y) = x+ 5y 2 +y = 25,

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Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: @3Dy+12 D3=24

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Q: 2t + 3 r(t) -, In(t² + 2) t2 +1

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Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

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Q: z· 3°dz

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Q: X, t Xx t 2 Xz531 2X, + X> t Xz Z22 Naximzed By: 233y,tax2tdxg

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Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: y"'-3y"+2y'=t+et

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Q: Find:

A: Given,

Q: 20.t2y′′+3ty′+y=0,t>0;y1(t)=t−1

A:

Q: Find dy if y= (4x+3)/(x2+6)

A: Quotient rule for derivative: ddxuv=vdu-udvv2

Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: y" +2y'+ y = t O y = t-2 O y= 1/2 (t) O y = t O y = 2t -1

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Q: 24. f(x, y) = In(x² + y)

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Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

A:

Q: 1. x = y =. M 31 L5y9

A: Triangle properties

Q: find dy/dt. y = 3t (2t2 - 5)4

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Q: L,S, S yz tan xdxdzdy -1 J2y

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Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

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Q: 7. y Vzy dz + dy = 0

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Q: S sec 2ydy

A: Topic:- integration

Q: x, y) Edy is

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Q: S(6 + 6y – y²) dy

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Q: y" +2y' + y = t O y = t-2 O y = 1/2 (t) y = t O y = 2t -1

A: To find the particular solution to the given differential equation first write it into operator…

Q: 4. y = vx + 2 x,for-

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Q: 2e-0.8t dt, n = 5

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Q: In x y of y = 3

A: Find your answer below

Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: Differentiate with respect to t 100 = x2 + y2

A: give equation ;- 100=X2+Y2 when we differentiate above equation with respect to t , we get

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

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Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: 3) Find y' if y = Vx+1(2-x)5 (x+3)7

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Q: 11. Find y'if y = 2x + Vx* – 9x+3

A: