y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

Q: dx 1)y /sec(3x) 2) y = Vu + 2u , x= u? - 3u

A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

Q: gent lihe equation. (4) x²-xy +y =7 P,(-1,2) (5) xe' -ye = 5 P(4,1)

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Q: Find (3x + y)dA where D = {(x, y) | æ² + y? 0}

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Q: Solve 4y" 13y' + 10y = 0, y(0) = – 1, y'(0) = 1.75 y(t) = %3D

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Q: 1. (D2 - 6D + 9) y eir %3D

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Q: Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

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Q: mation 9. y'-y = 2te²¹, y(0) = 1 2

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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: sec² (w) - -dw 4w2 +1 10.

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Q: 2b. y' - ху'+ у %30 A. y = x? В. у 3Dх C. y =1-x D. y = 2x? –1 E. y = 0

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Q: Vye-y" dy 2.

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Q: Find y' and y'' of e^(x+y)+y^2+x^3=0 Thank you so much!

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Q: If y = (x? – 4)2 - 2arc sec find y'. 2' Vx² – 4 Vx² – 4 1 Jx² – 4_ 1 4 A. В. C. +- D.

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Q: (у + /x2 + у2)dх — хӑy; when х%3D V3, у %3D 1

A: substitute value of x and y in the equation to find the answer

Q: x= +t and y= + 2 y= 2x

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Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: y = 2 – x², y = x²,x = 0 about the y-axis

A: Given y=2-x2, y=x2x=0 To find Volume  about y axis By using shell method Intersection Point  x2=2-x2…

Q: x = 2 + 3t, y = cosh 3t , 0 <y<1

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Q: f (6x?y2x)dydx y-2x)dydx

A: To evaluate the double integral

Q: gA y = 2sgn(x+2) san • %3D

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Q: (a)2t – 2 + (y')? + 2ty'y" = 0, y(1) = -÷, y'(1) = 1 %3D %3D

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Q: 1. y +Yt-1 = 3 (t, yo) = (0,1) %3D

A: In difference equation  yt+k=Ekyt ϕEyt=gt y=C.F+P.I C.F=ϕEyt=0 P.I=1ϕEgt ∆c=0 where c is constant.

Q: x=t-2 and y= t t-2

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Q: Solve y'"+ 5y' + 4y = 0, y(0) = - 8, y'(0) = 17 y(t) = %3D

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Q: 2 V4-x2 e*²+y* dydx =? -2 0

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Q: b) y = |x| – 2 and the x axis %3D

A: Given curve is y=x-2

Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

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Q: (c) y" – y' = t², y(0) = y'(0) = 0.

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Q: Solve the equation (2y°-x°) dx t 3x*y dy =0 y + p(x) y= 9 (x) y" independent y dependent

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Q: Solve y'+ 8y' + 15y = 0, y(0) = 5, y'(0) = 19 | y(t) = %3D

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Q: y 1 y = sec?t y =1-2 T 0. 1 4

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Q: c) y'=X-y+1 x-y+2' with y(1) = 2.

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Q: C:y 2x, x 8 ing (x² + y³)dx + (2xy +3)dy1

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Q: ' + y = y? Py = 1 + ce¬# Dy-1 = 1+ ce¯ Py = 1 + ce² Dy-1 = 1+ ce

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Q: D³ + D² + 4D + 4)y = 0; y(0) = 2; y'(0) = -4; y"(0) = 2. Find y(TT) %3D

A: Given that:D3+D2+4D+4y=0   y0=2 ,y' 0=-4,y''0=2To find: yπSolution :D3+D2+4D+4y=0Auxiliary…

Q: Solve y"(t)- 2y' (t) + 5y(t) = H(t); y(0) = 0; y'(0) = 1; where H(t) = (t+2,0 ≤t <2 2t - 3,122

A: We have to solve by Laplace transform.

Q: Solve t-r sec'y= 2g tan y,

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Q: f(x, y) = x4 + yA; x2 + y2 = 18

A: In this question, we find the maximum and minimum value of the function by using the Lagrange…

Q: (t+1)y" – (t + 2)y' + y = 0 or t > -1.

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Q: Y= 1/9 cot (3x-4) Y”=?

A: Here we will use simple standard results of derivatives to find double derivative of the function

Q: Any help would be appreciated

A: Our approach: Express t as a function of using the first equation. Substitute for t in the second…

Q: Solve: •2-3x 5² 5²-³x fx+y x dz dy dx 0 0

A: Here we have to evaluate the given Integral

Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: T(x,y) = x + xy + y - 12x + 2 on the rectangular plate 0sx<9, -5<ys0

A: We have to find absolute minima and maxima of given function.

Q: Solve: Ux =x cosy 410y)= y3; ull,y) = es

A: When partial differentiation is done with respect to a variable, all other variables are assumed to…

Q: Y = _X + Y =__X + "ater Slide #1 to Water Slide #2 Water Slide #2 to Water Slide #3 3: Solve for B:…

A: Solution: Consider the given coordinates of the Locations Locations: Ordered Pairs: Help Center…

Q: 2. y²dx + (x² − xy - y²)dy = 0 [Answer: (x - y)y² = c(x + y)]

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Q: y - 2x = - 4 Point y = x - 2 Verify: 2x+ y

A: In this question we will use basic of plotting of linear equations on graph i.e first put x=0 and…