how do I take the laplace transform of this? I'm trying to find X(s).
. I already found a solution but I want to verify if it's correct.
The unit inside f0 is 1(t). they're step functions. I forgot to
add though
The initial conditions are x(0)=0 and
.
how do I take the laplace transform of this? I'm trying to find X(s). . I...
How do i find the transfer function for the following Laplace
transform...
i.e...
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Find the Laplace transform of the periodic function
whose graph is given below.
(Click on graph to enlarge)
________
______
______
_________
= _________
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Find the inverse (unilateral) Laplace transforms of the
following functions:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
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lim
x -> infinity
calculate the about with algebra and limit laws only. Please
show work and step. Please screen shot work so it's easier to read
than trying to type it out.
I can get to
but then i get stuck. please help
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I was looking for the Inverse Laplace Transform for the problem
above and I got this answer, but without the step function, u(t). I
don't understand why the step function, u(t) was added to the
answer. Can someone explain why it's part of the answer? Can you
also tell me, for future problems, how would I know to put u(t)?
Like in what kind of problems and what to look out for?
Edit: The last part of the answer should...
Find the unique
function f(x) satisfying the following
conditions:
f′(x)=2x
f(0)=4
f(x)=
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consider the variation of constants formula where P(t)= a) show that solves the initial value problem x'+p(t)=(t) x()= when p and q are continuous functions of t on an interval I and tg p(s)ds We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image tg p(s)ds
0.19 0.. 1. (Natural Splines) Find the natural cubic spline S(x) satisfying S(0) = 0, S(1/2) = 1, S(1) = 0. Your answer will be 2 cubic polynomials, S.(x), S1(x). Verify that your answer satisfies all the necessary conditions (interpolation, continuity of 1st and 2nd derivatives, boundary conditions). We were unable to transcribe this image
2. i) Find the general solutions without using Laplace transform. a) ° +9y = 2cos(x) b) ° +9y = 2cos(3x) c) Y + 27y = 0 ii) Find the particular solutions using y(0) = 0,9(0) = 1 and for the third equation also Ç(0) = 0. iii) Use the initial conditions given above to find the solutions using Laplace Transform iv). For a) and b), construct a mechanical model corresponding to it
(a) Find the Fourier transform of the following function (b) Using Fourier transforms, solve the wave equation , -∞<x<∞ t>0 and bounded as ∞ f(r)e We were unable to transcribe this imageu(r, 0)e 4(r.0) =0 , t ur. We were unable to transcribe this image f(r)e u(r, 0)e 4(r.0) =0 , t ur.