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

Q: 3s-5 s2+4s+2 Ans: 5.39e-3.41t 2.39e-0.586t 2.

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Q: 2(s-3) L-1 s²–6s+13) (ix) 3s+2 (x) L- (s2-8s+25)

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Q: n2 -5n +4 an 3n2 +5 n-1 Vn=6n- 3 4 %D Wn = 4 %D -/3 II

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Q: 3 L cosh-t|= 4 .a 4s 4s2 – 9 - .b 4s 4s2 – 16 .C 9s 9s2 – 16 .d 16s 16s2 – 9

A: We have to solve given problem:

Q: 0.5 y n/2 t 3π12 2n -0.5 -1.5 --2 -2.5 -3 -3.5

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Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: = V3 + 4" + 7" and b, = Vn2 + 3n – Vn2 – 5n.

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Q: 3s +25 5) y=L-1 s² +6s+13

A: In the case of multiple questions we are ordered to solve first unless asked specific one. So I am…

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: 2s-3 Find Ll4s+5 s2–4s+5 |

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Q: etch ソ=+2 エー1 2) y=ド--2

A: We have to sketch the given functions.

Q: 6. (3х — 1)у' —D бу — 10(3х- 1)1/3. ANS. y = 2(3x – 1)1/3 + c(3x - 1)?.

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Q: Integrate by switching to spherical coordinates.

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Q: 3s +25 5) y=L-1 |s²+6s+13 ]

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

Q: 3s - 2s - (s-3)(s² +1) %3D (1 + ;s)(E = $) = (s)d

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Q: 4. y" + 5y' + 6y = 36t + 6; y(0) = 4 ; y'(0) = -17 %3D Ans: y = e-2t + 7e-3t + 6t - 4

A: To find- Solve y'' + 5y' + 6y = 36t + 6;     y0 = 4; y'0 = -17

Q: L-1 (s³+3s²-s-3) . (s²+2s+5)²,

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Q: 3. y' = 5y + e-2*y-2 y(0) = 2 У (0) - 4. хуу' + 4x2 + у? 3D 0 о у(2) 3 —7

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Q: y = x-4 4 3 2 y = - x + 3 1 43-2 -1 4 5 -2 -5 5. 3.

A: In this question we have to solve the graph

Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

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Q: s2+9s+2 L-1(, -) = 2e-t + 3teAt – e-3t (s–1) (s+3)) = 2e¬t + 3teAt ,

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Q: Find dz (3z4+4) 1 3a1-72+4 Option A Option B 36a° /E(3a1+4) (3r-4)* 3a -6r+4 -69r+4 VF(324+4) Option…

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Q: 3s +25 5) y=L-1 |s²+6s+13

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Q: 5r+1 (d) 16 - 2>0 (e) 2 4

A: Solution set of inequality are following

Q: 1) e - 3 s2 -7 2) -la 2 (s – 3)5 7s 3) C-1 s2+4

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: [2 4 21 A = l1 3 1 1 1 B = -2 -1 [2 4 D = 4 C = 1 3 21 -1 %3D 2

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly  C = AD = -B

Q: Question 4

A: We have given an equation;

Q: 3s +2 1 Find L-1 s2 + 4s + 29

A: To find laplace inverse.

Q: 1. dr 2. (2* + 2=?) dz + 212) a (3 + 3r2 + 1) dr 3. -2 dr 4. (2-3 +2-2 + a-1) dz 5.

A: Integrate

Q: 3(% 1)2 dz; z-21

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Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

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Q: A. 60/5 ÷ 4 x 3 B. 74=-2t C. q - 6 < q -5 D. (r - 3) x s = s2 E. 9 < (3v) (v + 1)

A: A.605÷4×3=605÷12=12÷12=1B.74=-2tt=74-2t=-37C.q-6&lt;q-5=-6&lt;-5=-6+5&lt;0=-1&lt;0

Q: x+    z+2x  =6 {y-2x           =5 {x+2y-z       =-2 {2x-y-3c-2x =0 Can you show any amount of work…

A: Note the system you have provided. Seems to be wrong. I provide justification for this. From there…

Q: Your company can manufacture x hundred grade A tires and y hundred grade B tires a day, where, 0 ≤ ?…

A: Given: x is the number of grade A tires (in hundreds) and y=40-10x5-xis the number of grade B tires…

Q: 3. 2S-1 s2-6s+18

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Q: 3s 4) F (s) s2+2s-8 10-4s 5) F (s) (s-2)2 s+12 6) F (s) s2+4s ||

A: Inverse Laplace transform 1/(s-a) = e^(at)  Inverse Laplace transform 1/(s-a)^2 =t e^(at)

Q: 2 3 -x´ - 4xy + 3y°; x= - 2, y = - 3 nen x= -2 and y = - 3, -x - 4xy + 3y° is mplify your answer.)

A: Topic:- algebra

Q: dy 3. 9-49y²

A: To find out the integration.

Q: -3 -5 2 -3 -5 2 d. Suppose that E4 -2 -3 -3 -4 -6 -6 4 -4 4 -4 Find E4 and E,'. E4 = 3. II 3.

A: Given: E4-3-52-2-3-343-4=-3-52-4-6-643-4

Q: L-() = 3s (s-2} 6te2t O 3 t e2' O |(* – e") O - 3te-2t 3e2' (1 + 2t) O 3e2" (1 – 2t) O In () O 3e-2i…

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Q: fo 뉴- 토욜 하블 4+0 X = 2 (-1,4] find MLE (0) GE | + 旦22 0 + ㅈㅈ =-2 7= 1 1

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Q: an = Vn - Vn + 1 S1 S2 S3 S4 Sn II

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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: 2s – 3 F(s) s2 + 2s + 10

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Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

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Q: ax+b=3(x-a)

A: Refer to the question, we need to solve the provided equation

Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

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