9.) The Inverse Laplace tra (A) In(s² - 2-3 (C) //e+ + 3/e³1

Q: Are x, sin(x) and cox(x) linearly independent

A: True x, sin(x), cos(x) are linearly independent

Q: Solve the laplace transforms for: a- L[alt ex. cos2x. dx]=F(s)/s b- L[t². Sin2t] =(-1)².…

A:

Q: 3.11 If the deformation mapping of a body in a naval machine is given by X(X) = (X₁ + AX₂)ê1 + (X₂ +…

A:

Q: F (s) = e4-3s (s+4)5/2

A:

Q: Find the Laplace transforms of the following. r -6t sinh(2t) 1. -6t cosh(2t).

A:

Q: - 3t +2 (b) 24 2. (a) 15

A: Topic = Laplace transform

Q: [(s-2)²+b²1 (s-b)2 i. F(s) = In j. F(4) = ln[1+] 2bs s²+2b2

A:

Q: +23

A:

Q: f(t) = cos(t 6.

A:

Q: Find the inverse Laplace of 2²+2bx+b² if L(f(x)] = F(t) te-bt te-bt t+e-bt tebt bte-bt

A: 1. Laplace transform is an integral transform that converts a function of real variable t to a…

Q: L[cosh(@ot) u(t)], C[sinh(@et) u(t)] and L[cos (@t) u(t)

A:

Q: L{e' sinh(t)}

A:

Q: eot cosat-sinat-1 f(t)

A: Laplace transferom of divisible by t theorem

Q: Determine Taylor's formula of order 1 and center a = (0, 0) of f(x)=ex1sin(x2).

A:

Q: 2 w2 In(w) dw

A: To evaluate the integral ∫12w2lnwdw

Q: Show that the real and imaginary parts of the following functions satisfy the laplace equation. (z =…

A: We know if f(z)=u+iv then Laplace equation satisfied if  Uxx+Uyy=0  and  Vxx+Vyy=0

Q: 1 Find the inverse Laplace transform of F(s) (s+a)*(s+b) for t >0

A: Given function is, F(s)=1s+a2s+b

Q: 2. Use formulas (2)–(5) to find the function f(t) for the given Laplace image of f(t). (a) L[f(t)] =…

A:

Q: 3. Find the laplace transforms of f(t) = ¹e²t sin(2t) 2t 4

A:

Q: L-1 2 l(s + 3)(s + 5) 5)] -

A:

Q: 6. Find the Laplace transformation of the following functions: (a) f(t) = 2e-3t + 5t4 – 3 sin 2t

A:

Q: XCt) = Ct +2)sin Ct -4) xct) = 3(t/4) e 78

A: Some of the properties of Laplace transformation Ltnf(t)=(-1)ndndtnf(t)…

Q: Find the Laplace transforms of f(t) = e(3t-7) cos3(6t).

A:

Q: Find the Laplace transforms

A:

Q: Compute the inverse Laplace tranform of (a) G(s) = = 18 54-9 S (b) F(s) = 3² +45 +40

A: The given Laplace function,(a) (b) .The aim is to find the inverse Laplace transform of the given…

Q: Solve the sifferential equation using tHce Laplace transforms- you y =I y lo)=y'(0) = y"(0)= 6 %3D

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…