Solve the initial value problem below using the method of Laplace transforms. w" - 8w' +16w=64t+320, w(-4)=5, w'(-4)=3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.

Q: What transformation was done to get the image? B' E' 2 y = -* Image 2 -2 E D Pre image

A: Let's find.

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

A:

Q: Find the linear transform which converts the circle that has a radius 2 and center is (0,-2) to…

A:

Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) = %D s2 +25

A:

Q: Find the inverse transform of the equation below. R(s) = (S+7) / (s^2-3s-10)

A: We have to find inverse transform of R(s).  Firstly by partial fraction simplify the fraction,  Then…

Q: 36 3€ Find the laploce transform of f'(E) = e^†cos (6t) - e cos (Gt)

A: To find the laplace transform of ft=e3t+cos6t-e3t cos6t.

Q: i). ƒ (1) = (5– 312) ² i). ƒ (1) =r2sinh (21) Find the Laplace transforms of the following…

A:

Q: . Using the tables and partial fractions, find the inverse Laplace transform of the following: 7s+5…

A: Solution

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Can

A: Separate the denominator Take inverse Laplace transform Find f(t)

Q: Dear tutor, please help me in  inverse laplace transformation using only this table- formula  below,…

A: e) Given to find L-15s-42s2-3 Formulas using here L-1ss2-w2=coshwtL-1ws2-w2=sinhwt

Q: Determine L '{F}. s?F(s) s+5 + 3sF(s) – 10F(s) = %3D 2 s+ 6s

A:

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: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Results for this submission Entered 1/6ult-8)(e^(41-32)-e^(-2t+16)) The answer above is NOT correct.…

A:

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

A:

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: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

A:

Q: S , use the translation property to compute eat cos bt). *** Given that cos bt)(s) = s². Click here…

A: The translation property is: Leatft=Fs-a

Q: We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the…

A:

Q: Find Fourier transform for : A) f(t) = e-3t cos² (3t) B) f(t) = te tu(t - 3)

A: (A)Given f(t)=e−3tcos2⁡(3t).Now, we'll find the Fourier transforms for individual terms.The Fourier…

Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

A:

Q: Find the inverse laplace transform of H(s)= 8/(3(s^2) + 12) + 7/s^5

A:

Q: How did they get Y(s)? I tried, but I don't get how to convert the y' notation.

A:

Q: Find the inverse Laplace transform of L- s-37+4J- 3 (++3)²+4 3 3t e e 3t sin2t sin2t (s+3)2 (C) L"f…

A: Answer

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

A:

Q: Determine L '{F}. 4s +3 SF(s) – 5F(s) = 2 s+ 10s + 25

A: If f(t) is defined for all positive values of t and if ∫0∞e-st f(t) dt=Fs, then  Lft=∫0∞e-st f(t)…

Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…

Q: S Given that cos bt}(s) = s²+b²¹ Click here to view the table of properties of Laplace transforms.…

A: