10s¯ + 8s + 29 inverse laplace ( (2s 3s + 7)- -

Q: Solve the following problem using Laplace transforms.  utt = c2uxx − g, x > 0, t > 0,  u(0,t)=0, t…

A: We have following problems: utt=c2uxx-g, x>0,t>0 Taking Laplace both sides…

Q: Q.5: Solve the initial value problems by Laplace transforms. у" - 2 у'- Зу%3D 0, y(4) = -3, У (4)…

A: Given,  y'' - 2y' - 3y = 0,     y(4) = -3,     y'(4) = 6

Q: How would we calculate the inverse Laplace of    6s/(s²+9)²

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Q: 11) 2(1-e Ans. F(s)- e ") Rnd the Laplace Tvans Form 2.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Solve the IVP using Laplace transforms. x(0) = 4 15. x'(t) = t², %3D %3D

A: Here we will use Laplace transform method to solve the differential equation.

Q: 7s2-41s+84 9. If we determine the inverse Laplace of F(s) what would be the sum of the…

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Q: Solve using Fourier analysis U=U + 4 cos(2x), u(0,t) = 0, u(r, t) = 0, u(x, 0) = sin(3x) + cos(2x).…

A: Using separation of variables and Fourier series expansion.

Q: t° cos(5t) + cos(2at) cos (3at) COS

A: 1) Ltnf(t)=(-1)ndndsnLf(t) 2) Lcos(at)=ss2+a2

Q: 18s-13 Find the Inverse Laplace of F(s) s2 +7

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Q: t2 sin 3t – 3t cos 3t

A: Given :    t2sin3t-3tcos3t

Q: 6. Solve using Laplace transforms: y' + 3y = e5t, y(0) = 2

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Q: Using Laplace theories to find £-1 3S (S²+9)²

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Q: Find inverse Laplace of 5s +3 (s-2) (s2+4s+29)

A: We have given that ,  Fs = 5s + 3s - 2s2 + 4s + 29 We need to find Inverse Laplace Transform ,  That…

Q: Calculate the inverse Laplace transfom of s-s3 Select one: Oa. y(t) = 1-e-3 -e3 Ob. y() = ---e Oc.…

A: The correct option is, option (b)   The detailed solution is as follows below :

Q: y" + 2y' + 5y = t cos(5t) - 6,y(0) = 1, y'(0) = -2

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Q: -8s2 – 5s+9 |(s+1)(s² – 3s+ 2)

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Q: 25. Find the general solution of the equation dy = 2y + 2e-. dt (This equation is linear, but please…

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Q: 6. is (s-1)(s-2) If we use the convolution, the inverse Laplace of

A: Introduction: The convolution theorem is very significant in Laplace transformation. For two…

Q: 1 L 's2-8s+25-

A: Find L-11s2-8s+25 as follows First rewrite the expression 1s2-8s+25 as shown below.…

Q: Find the inverse laplace of s2+78-8 -81 Ofe + o get - 10 9 6 e-8

A: Given Laplace function is y(s) = s+4s2+7s-8

Q: 3s+2 Compute the inverse Laplace of Y (8) = 32+25 3 cos 5x + sin 5x 2 cos 5x + sin 5x cos 5x + sin…

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Q: 8 1 Laplace inverse of L is (8 – 5)² +8² O e5t sin 8t e 8t sin 5t O e e 5t sin 8t O e8t sin 5t

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Q: Solve the initial-value problems using Laplace transformation. Show solutions.

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Q: 4s+3 . Inverse Laplace of (8–1)(s²+1) |

A: 1st we will use partial fraction decomposition to separate factors of denominator and then will…

Q: s+2 (s+4s+5) Inverse laplace of

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Q: y(0) =-1,y'(0)=2 2x SOLUE USING LAPLACE TRANSTORMS Y"- 24'-3y= 4x -5+6xe

A: Given  y''-2y'-3y=4x-5+6x e2x,    y(0)=-1…

Q: 2 sinh 6t – 4t cosh 6t

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Q: Solve the sifferential equation using Ace Laplace transforms- y-3y'+2y=1-4X+2X y(0)=4, y'0)= 5-

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Q: 4. Find the Inverse Laplace of 10 1 7 s+2 3s-5 s5

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Q: 3s 4s? – 3

A: We have to solve given problem:

Q: Jordan eliminotion えt 2.x.+2y =-|

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Q: Solve the IVP x”+9x = U(t-2)sin[3(t-2)], x(0)=2, x’(0)=0 using Laplace Transforms. Identify xc , xp…

A: The solution is given as

Q: AUse Laplace transform to solve erential equation in figure below:

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Q: Solve the ifferential equation using Ace Laplace transforms- y"-2s'+9 = 6 xe*

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Q: choose the appropriate answer

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Q: 5. Determine the inverse Laplace trans- form of the given function. 7s2 - 41s + 84 (b) (s – 1)(s2 –…

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Q: 6 sinh t 6 cosh 51 Option 2 O Option 3 * What is inverse Laplace for 6s s² +25 6 sint 6 cos 5t…

A: In this question, we need to find the inverse Laplace of given function.

Q: Given ( x''+2x'+2x=2delta(t-pi)....x(0)=0, x'(0)=0 Solve using Laplace Transforms, show support…

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Q: Laplace inverse of L-1 is 6! 5!

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Q: Laplace inverse of L-1 s + 6 is (s + 6)2 + 16 -

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Q: -) (stz)+@4 8 -2x t 3e ycx) = -3 cos 2x +3esinx | SS DS

A: We have to solve given problem:

Q: 7. (a) cosh²t (b) 2 sinh² 20

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Q: 8 4) The inverse Laplace f (t) if F(s): %3D s2+2s+3

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Q: %3D (b) Applying the Laplace transformation solve y" – 3y – 2y = te-24, with y(0) = 1, y'(0) = 3.

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Q: 3. Use Laplace transforms to solve y+3y=1351 24 y(0) = 6

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Q: (eit. -it 1 e-st dt = %3D 2i s² + 1

A: The given integral is: ∫0∞eit-e-it2ie-stdt

Q: Solve using Laplace transform method: y + y = 1 y(0) = 2 [y' (0) = 0

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