r+ 2y = 4 3r + 8y %3D I =?

Q: dy 2ry = 1+ y? , y(2) = 3 da

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Q: Find (3x + y)dA where D = {(x, y) | a² + y? < 25, x 2 0}

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Q: E = (2ry y2). C: r(t) = (9 – t2 t) 0<t< 3

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Q: y= e^7x  y`(0)=?

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Q: (e) 216** - (Y296)"* 3r-2 (d) 8" 42+ x+15 () (25) =3125 %3D

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Q: Find the solution to y '= 3y satisfying y(2) = 1000.

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Q: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

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Q: S₁ y² – 3ydy 11

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Q: dx b) e2" – e5r dr + Vx (1+ х) e3r

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Q: y" + 49y = 0 %3D

A: Given the differential equation y" + 49y = 0 The auxiliary equation is m2 + 49 = 0

Q: G 76 H 7x 5x 8y I y = %3D

A: Som of opposite angle of quadrilateral is supplementary

Q: Solve the system:

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Q: (c) S(2r) =

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Q: 10. ( Dª – D³ – 3D² +D + 2 )y = 0

A: Solved below

Q: (d) P(X + Y = 4),

A: A discrete random variables are those variable which can assume only a finite, or countably…

Q: y=e−x3

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Q: 1 2e10z 3 da |3D e5z

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Q: r1/2 (4) LL"L. x² + y² dxdydz 3y

A: Double integral is an integral with respect to two different variables; the integral of a function…

Q: Find RS. 7x R 6. T 11x 15 E.

A: The explanation of answer as follows

Q: *+ y = e2t ; y(0) = 0 2.

A: Given,  dydt+y=e2t; y(0)=0 We can write it as y'+y=e2t

Q: Solve for y" (2): y" - y = 0, y(0) = 12, y'(0) =

A: Differential equation and it's solution

Q: x=t+1, y= vt, t20

A: Givenx=t+1y=tt≥0

Q: 2+r p3 dz dr do. 3r2

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Q: 2x+y (6) dそdXdy

A: First integrate with respect to z and put the limits as 2x+u and 0 Then integrate with respect to x…

Q: C. y=1 D. y = 8 %3D

A:

Q: E. Find x²+y = 4 %3D

A: x2+y2=4

Q: y= eb00Xis a solution of Select one: a. y = 800y O b. y = 600y C. y = - 800y O d. y = - 600y

A: We have the solution y = e600x and we need to find from which differential equation given in the…

Q: x = 4t – t°, y = 2 – 3t

A: We have the parametric equation: x = 4t - t3 ........................... (1) y = 2 - 3t…

Q: Solve: y''+ 2y' – 8y = – 32t + 56 y(0) = – 9, y'(0) = 28 y(t) =

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Q: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

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Q: Solve for y. 60 59 50 2y 35

A: The sum of exterior  angle of any polygon  is 360°

Q: The Yp of (D²+D) y=20

A: Given (D2 + D) y = 20 To find yp(x)

Q: 1. (D2 – 2D + 5)y = 0

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Q: 3. (D² + 1)y = 0

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Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

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Q: 1. D'y+y=secx? +y3sec.

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Q: (a² + y²)dæ = 2y[(a² + y?)² + 4x]dy ?

A: First we find the integrating factor then solve this ODE

Q: Solve (D² + 4)y = 0 %3D

A: We need to solve(D2+4)y=0

Q: d. P (X +Y = 4) %3D

A: The joint probability distribution of X and Y is given below: fx,y=x+y30   for x=0,2,3     y=0,1,2

Q: © (DS+ 3D4+3D³+D²)y=0

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Q: P5: |V4- 9x?dx 4 –

A: Let's find.

Q: r?y" + xy' – 4y = 0

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Q: y? 9. dy y² + 4y + 8

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Q: y* Ja? – y² dy - y2

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

Q: Solve DE  y" - 10y' + 21y = 0

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Q: Solve for y. c =y-b = D

A: Given that  c=y-b  We have to solve for y

Q: 1. (D² + 4D + 5)y = 50x + 13 e3x

A: