(1) E(Y1) (2) E(Y2) (3) V(Y1)

Q: 2 3 = e* x*0,(2x - y) +,(x-y) i=0

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Q: 2 x - 1 [11 B = 0 2 and D = A + B and d,2 = 1, d31 = -2 then Ly 1] If A = -3 4 1. x = 1,y = -1 2. x…

A: It is matrix problem.

Q: .3 4 1 1) dzdxdy S² S³ S1²3 S₁ 0 1 z(y4+1)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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: 24. d(x) =2x -2x 1-3 1-3 A) 2 --1,0 2 -1-i3 -1+iv3 B) 2 ,0,1 C) 0, 1 D) 1, 2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1. (16x y² etxy + y sec² (xy) – 2x + 3y) + (16x² y e*xy + x sec²(xy) + 3x)y' = 5

A: Given: 16xy2e4xy+y sec2xy-2x+3y+16x2ye4x+xsec2xy+3xy'=5

Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: If y(s)=1/(s2-3s+2) , and y(t)=L-1(y(s)) , then y(1)=? (a) e2-e

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Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: 3. 1. Sdx 2. Sa+2 2x+1 dx x+1 3. S: dx x²+2x+5 1 4. Sdt 5. S dt 7t-1 (4-1 dt S 5-t3 6.

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Q: y''-3y'+2y=5e^3x,y1=e^x

A: Reduction of order is a very significant and basic method to solve higher-order linear differential…

Q: (b) y = e, y = ²x, x=0, x= ln 2 1 (c) x = =, x = 0, y = 1, y = e Y (d) y = 5x - x², y = x (e) y =…

A: Using vertical strip

Q: V11 10) (z-VT) dz 15 15 A) - V C) - V1ī D) -VIT 11 11 2 В) + 21 2 11) (2x2 + x + 4) dx X + 1125 A) -…

A: We have to integrate

Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: 9-x2 18-22-y2 (x2 + y² + z²) dz dy da? 3 0. x²+y2

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Q: 'y-1 ++ Beson Muss 1- +

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Q: E (X² + Y²) E (XY)

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Q: (1) E(x, -x)² =Ex} – nx² | (ii) E(x, –x)(y; -y)=Lx,y, – nxy (üi) E(x, – x)(y, – F) =Ex,(v, - )

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Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

Q: (2xy + 3x²)e, + (x² – 2yz + 2y)e,- (e2 +y²)e, olan f(x,y,z)

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Q: 2. y" – 2y' – 3y = e²", y(0) = 1, y (0) = 0, Yp(t) = -e2' /3 %3D

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: 12x+1 C) (2x+ 1)2 7) If y= then *+2. dy 12x -1 D) (2x+ 1)2 2x12x•5 A) (x+2)2 7 E) (2x+ 1)2 2x B) 22x…

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Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 59. (а) у 3 f(x) + 1 (b) у -- fo) - 1 (e) y = 25) y =f(x) (-1, 2) (0,0) (-2, 0) (2, 0) Ia.-2)

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Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. 2x y = (-2 + 3r)e¯*+2e² B В y = (-1+ 2x)e2* + 2e…

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Q: 5-1. y" - 4y + 4y = t³e²t, y(0) = 0, y'(0) = 0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 1°- 4+ 4r2 -4 dr Co T. (1²-1)(r²+2r+2)

A: Indefinite integration is the backward process of differentiation. Through integration, we find a…

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

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Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: y fa(4y) -1.0 -2 1/8 -0.5 -1 1/4 1/2 1/8 0.5 1 1.0 2 Find the E (X), E(Y), V (X), and V (Y). 2.

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

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Q: (D² -2D-3)y = 0: when x = 0. y = 0. y= 4 A y=e+e By=e- y = -e- -2 Dy=e-3-et y = e

A: The given differential equation  D2-2D-3y=0 is a homogeneous linear differential equation with…

Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation…

Q: (2n Yn+2 + ) yn+1 ) Yn = (2n + 5)2" cos (") %3D 2n+3 2n+

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Q: 1.y' + 6t = e*t, y(0) = 2 2.y" + 6y' + 4y = 0, y(0) = 1, y' (0) = 0 3.y' +t = e5t, y(0) = 1

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Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 3s (s-2)2 3e2 (1 – 21) 3e-21 (1 + 2t) In (출) 3te-21 3e2" (1 + 2t) 3t e2 6te2

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Q: X1 = 4 Y1 = 2 Y2 = 3 X2 = 2 X3 = 10 X4 = 5 Y3 = 5 Y4 =5 Xs = 7 Ys = 8 1. 3 E-1xi + E=2Yi 2. Σ (y ?.…

A: Note: According to Bartleby guidelines expert solve only one question and maximum 3 subpart of the…

Q: 7. The second derivative of y = e3* + e4* is + 4e4x b. 9e3x + 16e4* а. 6e3x + 8e4x d. 9e9x + e16% C.

A: The given function is: y=e3x+e4x

Q: y 3.0아 (1, e) 2.5 2.0아 y-e* 1.5 1.0 y = xe*2 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: 11. y" – 2y' + y = e', y(0) = -2, y'(0) = 2, yp(1) = Įře' %3D

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Q: (ii) y" – 4y' + 4y = e3", y(0) = 0, y'(0) = 0. %3D

A: We have to find general solution of the given initial value problem.

Q: , у"+ бу'+ 9у 3D 0; x = 0, y = 0 and x = 0, y' = 3 = Ans. y=3 x e-3*

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Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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