Solve the following ODE using Laplace Transform: 2. у"+2y' - 3у%3Dбе-3t y(0) = 0, y'(0) = 0

Q: у" +у%3D0.001t?, У (0) %3D 0, у'(0) %3D 1.5

A:

Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=2.

A: The objective of this question is to solve the given differential equation dx/dt + 3x = e^-2t using…

Q: 2s + 16 s² + 4s + 13

A:

Q: Seleccionar la opción que contiene la transformda inversa de Laplace de F (s) = 7e 53+4s+s? a) f (t)…

A:

Q: t¢ (0, 5 te (0, 5 æ' (t) + 3.x (t) = f (t), x (0+) = -2, ƒ (t) = 10 sin t

A:

Q: f(d) = e-2d d4

A:

Q: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

A:

Q: s2 +s - 2 X(s) : (s2 + 8s + 15)

A: According to the given information, it is required to find the inverse laplace transform.

Q: t3 - 3t2 + 5t – 8

A:

Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

A:

Q: 4y" + (y') = 0

A:

Q: Obtain the F(s) of the following f(t) 1. f(t) = } (-1 0st<1 ={'1 t21

A: we have given the function f(t)=-1  , 0≤t&lt;1  1  ,    t≥1 we have to find the Laplace…

Q: dy cosx+ ysin x =1 dx

A:

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: 5 sinh (3t) +4 cosh (3t)

A:

Q: Find Lf" sin /6t-r'e"}

A: Please see below

Q: ) 3x - 4x= sin社 ; at t=0,x==

A:

Q: t+2 1. La transformada de Laplace de la función (2t – 3)e 3 es igual a: a) e 2 2 3 21 S-- 3, 2 2 3…

A: Given that  (2t-3)e^(t+2)/3 To find the Laplace transformation of given function

Q: X f(x) 0,0 0,5 1,0 2,119 1,0 15 20 2,910 3945 5,72 2,5 8,695

A:

Q: Find the Laplace transform of sinh3 4t

A:

Q: Sº 2 19. s³ +85² + 7s

A:

Q: Find the Laplace transform of sinh3 4t

A:

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

A:

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: fx, þx| a' Find the Fourier transform ofƒ (x) = %3D

A:

Q: x" (t) – x' (t) = te*, x (0+) = 1, x' (0+) = 0. --

A:

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

A: The objective of this question is to solve the given differential equation dx/dt + 3x = e^-2t using…

Q: Find the Laplace transform of the following signal which is periodic with period 20. 20 15 20 t -201

A:

Q: determine the laplace transform of the functions 1.  24x^6

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Find the Fourier cosine transform of e-x.

A:

Q: Give the Fourier Transform for the following functions: (i) 108(t)

A: