Solve the initial value problem below using the method of Laplace transforms. w" - 6w' +9w=18t+ 78, w(-3) -1, w'(-3) = - 3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. w(t) = (Type an exact answer in terms of e.)

Q: Q 5(b) Find the inverse Laplace transforms of the following: 3 (i) (s+1)6 1 (ii) s2-2s+5

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Q: Find the Laplace transforms of the following functions: 3 -4 (s + 3)² + 16 4s2 – 4s + 2 (s – 1)3 13…

A: Since you have posted multiparts questions and we can answer 3 subparts. So answered 1, 2 and 3.

Q: 2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution…

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Q: Determine £-'{F}. 2 4s + 59s + 195 F(s) = (s + 6) (s + 3) Click here to view the table of Laplace…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: Determine 1¹{F}. 2 8s F(s) = 15s +3 s(s-7)(s-6) ¹(A)= - Click here to view the table of Laplace…

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Q: Determine £¹{F}. F(s) = 3s² +32s + 77 (s-3) (s² +2s+10) Click here to view the table of Laplace…

A: Here given that F(s)=3s2+32s+77(s-3)(s2+2s+10) We have to find the inverse Laplace transform of F(s)…

Q: Determine £¹{F}. SF(s) - 2F(s) = 4s + 5 s² +45 +4 Click here to view the table of Laplace…

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Q: Determine £¹{F}. s²-2s-12 (s+3)² (s+6) Click here to view the table of Laplace transforms. Click…

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Q: e -t.6t rule

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Q: The inverse Laplace transform of -3s² - 12s + 133 (s+2) (s² - 6s+13) is: + qeßt cos(wt) + reßt…

A: The inverse Laplace transform of  is:, where are constants with .

Q: Determine the inverse Laplace transform of the function below. 2s - 54 5s² - 70s+325

A: The given Laplace function is .To find the inverse Laplace transform of the function.

Q: Determine £¹{F}. F(s) = 3s² + 42s + 119 (s + 5)² (s + 1) Click here to view the table of Laplace…

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Q: Determine ¹{F}. F(s) = 4s² +47s+129 (s+ 5)² (s+3)

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Q: Determine £¹{F}. F(s) = 11s³ - 10s² - 7s+ 14 3 s (S-2) Click here to view the table of Laplace…

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Q: 3 Triangle ABC is to be reflected over the x-axis to form triangle A'B'C'. 21 B -6-5 -4 -3 4 5 -1 -3…

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Q: Determine {F}. F(s) = 6s² +96s+328 (S-2) (s² + 12s +40) Click here to view the table of Laplace…

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Q: 4) Using the Fourier transform pair FT sin NT u(t + T) – u(t - T) 2T NT And FT properties, compute…

A: we are given fourier transform pair u(t+T)-u(t-T)=2T sinΩT/ΩT

Q: Q1\Find inverse Z transform for the following:- Z-1 2-3z¹+z-² -1 x(z) =

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Q: Find the Jacobian of the transformation. x = 2u + 8v, y = 6u + 5v a(x, y) a(u, v)

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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: Determine ¹{F}. 4s+6 2 S+4s+4 SF(s)-2F(s)=-

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Q: Determine £¹{F}. 2 4s s²F(s) + SF (s)-12F(s) = - 2 +7 s + 6s

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Q: Let û(q) and (a) be the Fourier transforms of u(x) and (x) respectively. What is the Fourier…

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Q: Determine L {F}. s²F(s)-5sF(s)-6F(s) = 2 4s +1 2 S + 4s

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Q: Determine £¹{F}. F(s) = 2 6s - 11s+5 s(s-6)(s-5) Click here to view the table of Laplace transforms.…

A: Given Fs=6s2-11s+5ss-6s-5   To Find: ℒ-1F

Q: Determine the inverse Laplace transform of the function below. 11 (2s+3)4 Click here to view the…

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Q: Determine the inverse Laplace transform of the function below. 10 (3s +10)5

A: Here we have to determine the inverse Laplace transform of the function:Here we use the table of…

Q: Determine the inverse transforms of the following. 2s 6 (a) (c) (S-2) (S-4) (b) 5s-8 s(s - 4) $²25…

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Q: d) Using the table of standard transforms, find the inverse Laplace transforms of the following…

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