1 y = V+ %3D x-1 x- 3 y = 4-x2

Q: (d) (x– 2)* + (y-9)* =1 (e) x² + y² = 1 (f) x² +(y+5)° = = 25

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Q: 3 y=-3 x=- √√9-y² V25– x – y’ dxdy=

A: The given problem is to evaluate the given double integral in Cartesian coordinates. We have to…

Q: 3. YA x=y² – 2 ソ=1 x= e' y=-1

A: Solution Question 3  Given,  The curves  x = y2 -2    and   x = ey We have to find the area of…

Q: 3. y' +y y2 A. y 1+ Cex = e-3x + C B. y = e-3x +C C. y 1+ Ce-3x D. y = e3x + C %3D

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Q: 3x2 +- 8(y + 1) = 0 dy y+1 C 3(: 100 - designed by freepik 24C X=Yi+(x20)

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Q: y"+4y'+4y=(3+x)e-2x, y(0)=2, y'(0)=5

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Q: .2 x + 1 y = x3. %D - 1

A: The differentiation of df(x)/dx where f(x)= a/b is given by chain rule    d'(x) = (b.a' - a.b') /…

Q: 9) xy'– 2y = x'e* 13) y'+xy = xy

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Q: Given y' = 4x x²+2 A. 4x ln x² + 2 + c B. C. D. find y. 4ln|x² + 2] + c 2x ln |x² +2|+c 21n|x² + 2]…

A: We will use integral to find y from y' , using y'=dydx

Q: y' = 2x + 2y +1 3x +y -2 ty

A: Given differential equation y'=2x+2y+13x+y-2. The objective is to solve the differential equation.

Q: e) xy+y² = 1 f) x2/3 + y2/3 = 1 g) x³ + y* = 16 %3D

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Q: x-1=2x y=2= λy Z=-λz x² + y²z² = 0

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Q: 3 [*² [b³ – y³]² dy

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Q: 4. y(y² - 2x²) dx + x(2y² - x²)dy = 0 [Answer: x²y² (y² - x²) = = C

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Q: x = y² – 2 y = 1 x=e> y =-1

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Q: 2x e y = 2x y = (3x² – x).(*2) 5x+2 y =

A: Here we have to find the derivative of the given two functions.  In first function we use chain rule…

Q: y-HY + 3Y=0

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Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: Evaluate VA-x2 4-x2-y2 (x² + y²) dz dy dx. -V4-x2 0.

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Q: y" - 2y' + 2y = e'cscx

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Q: b) Ly= 끌=끌=곡 y-3 %D x-1 z-2 x-2 у-6 z+2 L2 : 1 2 2 -1 -1 3 II

A: Consider the lines  L1=x−12=y−32=z−2−1L2=x−21=y−6−1=z+23

Q: If y=x* - 5x² + 2x – 3 then equals dx A x* - 5x² + 2 В 4x – 10x+ 2x – 34 4x - 10x+ 2x D 4x - 10x+ 2…

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Q: y"-2y'+y = e* Inx

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Q: f(x)=x 2,g(x)=x+1(fog)(x) y (fog)(5)

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Q: 1 dydx 4+ y³ 0. 2.

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Q: -4x² – 16x + 2; x # –7 f(x) = {"* -2; x = -7 A. -2 < y< 18 В. у S -2 С. y < 18 D. -2 < y< 18 E. not…

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Q: (2xy s) 10x*y Sx*y (-243x*yy

A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…

Q: y" - y' - 2y= e* %3D

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Q: y"+ 2y' +y =e* x-

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Q: 1. y = e²x+3

A: Topic = Derivative

Q: y" + 6y 2+e 1x 二

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Q: xy' 0 +(x-6)y-3y=

A: Consider the given differential equation, xy''+x-6y'-3y=0 it is known to us that by the power series…

Q: (xy+ 2)* - 3x+e" =e C.

A: Part 18CGiven,           xy+22-3x+e-y=e-x

Q: 2 da x² – 8x + 17 Integrate: + C

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Q: 31. y-4y x+ 4 %3D

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Q: 1) y"- 3y"+3y'- y = ť°e' ; y(0) = 1, y '(0) = 2

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Q: 1l y" + 4y' + 4y = e-2x %3D x2

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Q: 20. y"-4y + 3y = x; y1 = e

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Q: S(x)=-2x+8x S(3) = %3D S(-1) =

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Q: ly₁ dr dy₂ 2t = y₁ + 4y₂ + e¹t - e²t = y₁+ y₂ +t+2

A: given  :         dy1dt=y1+4y2+e4t-e2tdy2dt=y1+y2+t +2 We have to solve the given system of…

Q: 1. y" + 4y' + 4y = e-2x %3D x2

A: We find the complementary solution Yc and Particular integral Yp The complete solution is sum of Yc…

Q: 2 xy VI+x y)-ー1

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Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

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Q: 4. xy+2x D /y

A: Solution:Given xy+2x =yTo differentiate explicitly with respect to x.Formula:(uv)'=uv'+u'v

Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

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Q: y' + 2y = 1 + e−x, y(0) = −4

A: This is the first-order differential equation; it is in the form of Therefore, Then find…

Q: x(x2 +1)y/(x) + (3 – 22)y(x) = 0 (E2) %3D

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: (x - y)(x2 + xy + y2

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