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#6.) Given f(t)=-2:+8, Ost<4, f(t+4)= f(t). Find F(s)=L{f(t)} of the Periodic Function.
Find the Laplace transform of the given function. f(t) = {et, Ost<2 lo, t> 2 | F(s) =
Find the Laplace transform of the given function. (Enter your answer in terms of s.) f(t) = 3, 0, Ost < Ist < 00 L{f(t)} =
Integral Transform Find the Laplace transform for the periodic function f(t) = f(t+2) and f(t) = t for 0 <t< 2.
3. Find the Laplace transform off, where f(t) = 3 + 2 if Ost <3, f(t) = 0 if 3 st < 6 and f is periodic with period 6. 4. Solve y" - 16y = 40e4t y(0) = 5, y(0) = 9 using the Laplace transform.
Find the Laplace transform of the periodic function below. f(t) = { 8 if 0 < t < 1 0 if i<t<2 ; f(t + 2) = f(t) f(0) 2 3 -4 -6 7 Q
Find a Fourier series expansion of the periodic function 0 -T -asts 2 - f(t) = 6 cost T <<- 2 2 0 I SISE 2 f(t) = f (t +21) Select one: a f(t)= 12 12 5 (-1)** cos nt 1 2n-1 b. f(t) = 12.12 F(-1)** cos 2nt T 4n-1 C 6 12 =+ 125 (-1) C05 211 472-1 6 12 (-1) * cosm d
2. Given 12 f(t)= ={ Ost<3 t23 (a) Write f(t) in one line using the unit step function (Heaviside function). 5 points 10 points (b) Find L{f(t)}, either by using the definition of the Laplace transform or by finding the Laplace transform of your answer to part (a).
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
Help please e Find the Laplace transform of f(t) = e-.if Ost<3 O, if t 23
Write the function in terms of unit step functions. Find the Laplace transform of the given function. Įt, f(t) t, ost<3 10, t23