a C Let A = d e f, and h 3h B 2d 6e 2f Suppose that det(A) = 2, a 36 find det((AB)"). (a) 24 (d) - 12 (b) 16 (c) - 24 C a

Q: (D² – 1) y = 8xe" a. y = c1e¯ª + e* (c2 + 2æ – x²) b. y = c1e-® + e (c2 – 2x + 2x²) С. у C. y =…

A: We have to find which of the following option is correct for the given differential equation…

Q: S (2y-3) dy 2y ³-y²-27y + 36

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Q: 2 4t e 1. %3D

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Q: (4D4 + 4D® — 3D? — 2D + 1) у — 0 a. y = (c1 + c2 ) enegative + (cC3 + c4x) e¯¤ b. y = (cı + c2x +…

A: Topic = Differential equation  No answer text provided

Q: -4 and C = 7 A = y В 1 3. Let Find x, y, z 2 -3 such that AB =C.

A: The matrix multiplication of two square matrices is performed as follows. Let P=ab cd and Q=ef gh .…

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: 37 Fnd the dstanee hetueen SCS,-1, ) X- 4 - t 3- -5 +3t

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Q: 4. (D4 +16) y = 0

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Q: pV9-(In x)? dx = %3D e-3 Select one: a. TC 2. b. C. 3T

A: option A is correct

Q: Consider an MA(2) Y; = po + 01ɛ+–1+02€t-2+ Et What are the values of the following quantities? (b)…

A: The most common type of stationary time series models is called as moving averages. yt =…

Q: Q3: If P(X= x) = a 8(x) + b 8(x + 1); then a + b = A) 0.5 B) 0.3 C) 0.4 D) 1 E) None

A: Given: P(X=x)=aδ(x)+bδ(x+1)

Q: 1) Let 1 = f²f²e-³x-2y dydx. Then / = e-12-26-41 b. +2e-*- 3 d. None of the above

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Q: c. x = 29 d. 6 = 29 %3D %3D

A: we have to solve the following

Q: O SS -İ 2 1 + √√ x² + y² ) dj d x

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Q: 1) Let T C d 02 = 2a + (-2) b + 3c+2d 1a + 2b + (-1) c + (-1) d (94]. [-2a +(-2) b +2c +3d i) T H…

A: We will use given definition to find the solution.

Q: If æ – y2 + 3z2+ 2x – 3y – 4z = 1, then Select one: 32+2 O a. 6z Ob. 3z2+2 6z-4 O c. None of these…

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Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: Prove from the definition: n3 + 65n2 + √n = Θ(n3)

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Q: m²dm (1) (m²-1)* © S 2) m- 2 m'dm dm + m15 m-2 3 (om²+15) dm 3 2m°+15m +1729 4 (4 y°C2y²-1)*dy

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Q: 0 (D2- D2) z ='x + y (D D') z = x + 2y

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Q: (D² + 5D + 4)y = 3-2x, Find Yp O a. 11 8 O b. O C 1 11 O d. 11 8 11 8 3 8 + X 3 e none I + X 3 X X 3

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Q: 21 (D² +6D² + 12D+8)) = 0 [AD: y = (C₁+C₂K+ (3²²) ²24

A: Given differential equation D3+6D2+12D+8y=0. The objective is to solve the differential equation.

Q: D = 3 1 50-4 -4 5 3

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Q: X1 Xi + 2x3 , X1, X2, x3 ER – 4.x2 T: R³ → R², T x2 X3 - x3 ||

A: So first we prove that the given transformation is linear

Q: 2. (D³ – D)y = -2(1+x) + 4e* – 6e¬× + 96e3x

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Q: Given R = a) b) 24 15 and S = 2STR 5R+S-(2STR)T 1 3 15 Find

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Q: 2r² + 3sr - 2r t6s)s t s(st 2r -1) dr = 0 %3D

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Q: b C 2018 B hi Let A = d det(B) = a Check g If det(A) = -7, what is det(B)? -9d 9e f-4d] c-4a i - 4g…

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Q: Ext (A) n Bd (A) + Ø True False

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Q: 1. Given 3a = 2a = 45s Find i.

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Q: 1 2 -1 1 0 -^-3---[+49] B = 2 -2 1 8. Let A: (a) AB (b) BA (c) ABT Find the following or explain why…

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Q: Find the value of (x + y) , if | x +- + y x2 3 II

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Q: -3z +2 z²-8z+12 Sez dz, C : |Z| = 9

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Q: Q2(a). Evaluate 1 t4+9 dt 0 t4+9t2

A: solution is given below

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.