17-2x X-3 E. %3D %3D 7 36 4 2)

Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

A:

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

A:

Q: 13. (10x - 45)" M mMN = %3D mNP = %3D Q MNQP %3D (бх - 1) R.

A: As per guide line we have to solve only one

Q: 1. y' – 5y = e5x ;y(0) = 0 2. y" + 4y = 0;y(0) = 2, y'(0) = 2 %3D %3D

A: In the given question we have to solve the given differential equations by using the Laplace…

Q: x/ 1+(y/x) =C Y-G,X- (C/2X) Option 2 O Option 1 O

A:

Q: 4. у" — 2у'+у %3D хе* — е" x’e* Ans. y= c,e* + c2xe* + 6. x²e* 2

A: Solution

Q: 6. 13. a +1 =; 14. t- 3 15. x + 1 1 x+2 x+ 1 %D - %3D 16. y y2 +4 2 1 y + 2'y - 2 y² – 4 17. d +4 d2…

A: As per our guidelines, i can answer only one question.

Q: 7) y'+ ky = ekr 9) xy'- 2y = x'e" 11) y'-y=e", y(1) 0

A:

Q: 1. (2л + 5у)dA %3D? D YA (0, 4) у 3 (x + 2)2 X = y - 16 D (-2, 0) (0,-4)

A:

Q: e'y' = e + 4x, y(1) = 5. %3D y =

A: First we convert the given differential equation into an exact differential equation by multiplying…

Q: 4. (4 – e 3*)³dx

A: Here we use the formula  ∫eaxdx=eaxa+C (a-b)3=a3-b3-3a2b+3ab2

Q: d) an = 2an-1 - 3, ao = -1 e) an = (n + 1)an-1, ao = 2 f) an %3D %3D = 2nan-1, ao = 3 %3D

A: 16(d) Given recurrence relation an=2an−1−3 and a0=−1 We have to find the solution of the given…

Q: 2. y' + ху %3D 6х у A. y = (6+ Ce B. y = (6+ Ce) C. y = (6e+c) D. y = (6e +c) x2, 2 А. у 2, 2 6+ Сет…

A:

Q: 5x° 112° (4y +4)° 85 x = 17, y = 27 x = 19, y = 27 x = 17, y = 16 X = 19, y = 16 a. %3D b. %3D с.…

A:

Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

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

Q: (t5 + 1)dt dp 3.

A: ∫3xt5+1dt =t66+t3x =x66+x-366-3 =x66+x-2492

Q: 6. g(a) = a² + 8a – 7 7. f(b) = (b + 6)(b – 2) %3D %3D 8. h(x) 2x+17 %3D 3x+1

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit…

Q: 9. -3 4 m = b = Equation = %3D 3.

A:

Q: 1 /2 3 7 . m<3 = (x + 40) m<5 = (x- 40)° m<6 = (y)° %3D %3D %3D UD 00

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Q: (d) y = x/1 (e) y = e", y = e3, and x = 1 (f) u = 2" , y = 5", and x= 1

A:

Q: 5. Differentiate the following a) y = e*(x³ + 4) %3D b) y= x³e* 3 у %3D et c) у%3 x2

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Q: x2/3 If y = ¤l/3 + 2 dy then le=-8 %3D da

A:

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: M/ (10x + 24) (9x-15) K X = m<JKM = %3D ´m<MKL = %3D

A: Given that  ∠JKM = 10x+24∠MKL = 9x-15

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: If hx) = Jx-4 then h*(-1) – h(20) is %3D a) 9 b) 5 c) 1 d) 4

A:

Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: V3/2 6. dt VI - 12 1/2 1 + Vx dx 64

A:

Q: aпалyses). 3" a. an %3D 2n+2

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

Q: (ii) (2 – t4)4 dt *xª – 5x³ + 6x² – 18 dr g3 – 3x² (iii)

A: 2)

Q: S 9a – 3d = 3 %3D -За + d %3D -1 d = -1

A:

Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

A:

Q: 4 + 2y - 16) dy =

A:

Q: 12. y = 4e" + e²"; y" – 3y/ + 2y = 0, y(0) = 4, y/(0) = 6 %3D %3D

A: Given y''-3y'+2y=0, y0=4, y'0=6

Q: 3. (D 3 – 2D 2 + D)y = xe x + 1, y(0) = y ' (0) = 0, y "(0) = 1. %3D

A:

Q: 3 [² [v³ – y³]³ª a Jo ² dy

A:

Q: 2. (х — 2у + 1)dх + (4х — Зу — 6)dy %3D0 (Ans:\x + 3у — 915 %3D С\у — х+1)

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Q: 2 xy VI+x y)-ー1

A:

Q: 3 -dp 72 + x2 Integrate: + C

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Q: (2х + 2у + 1)dх + (х + у — 8)dy %3D 0

A: In this question we have to solve differential equation.

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: Question 6 If y=ax², then y' is equal to 2a A 3y2 2ax 3y2 None ax 3y2 2x 3y2

A:

Q: Evaluate 2 1 xe*y dydx e2 +e-1+ 3 e? - e-1 -3 Option 2 Option 3 e2 +e-1-3 Option 1 None of the…

A:

Q: ax+b 35. у%3D cx+d 36. y= (x'+4x) 1) 37. y (r-x+ 38. y = V1+2x+x 39. y= (1+x*)" (1 +x* 40. у%3 (r*…

A:

Q: R - TVE + Vicsc(t) dt e tan (e) dr Vsec (e-) – 7 82y²-3g° (y² – y) dy

A:

Q: 3x d.A, A= {(x; y) E R² : y E [0, 1], x € [y, e®]} .

A: Given: A double integral ∬A3xdA, A=x;y∈R2:y∈0,1, x∈y,ey ∬A3xdA=∫01∫yey3x dxdy=3∫01x22…

Q: -3 8 m = b = Equation = %3D 2. 3.

A: We have to find

Q: 1. If |x + 1| 1 /C -3 2 Y-1)

A:

Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

A:

Q: d) 50- 3u = 75 e) 3x -7+2r = 9 )4- 2y -y = 12 g) -15 = 6p + 15 - 10p h) –n + 5 + 21n = 0 %3D %3D %3D…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.