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Find the convolution f(t) *g(t) for the following problem. f(t) = g(t) = 9 sint (f*g)(t)...
#2 Problem 2 . If the Wronskian of f and g is tcost - sint and if u f+3g z-f-g find the Wronskian of u and z. 0, find a fundamental set of . Given that i(t) is a solution of 2t2y(2) +3ty1) -y 0;t> solution. Problem 3 . Find the L-11 . Using power series method provide solution for the d.e. Problem 4 . Provide the Convolution Theorem and its prove. ve using Laplace transform y2 +2y+5y 0, y(0)...
4. Find the convolution of the following functions a. f(t)=t g(t) = sin 3t b. f(t)=é g(t)=cos2t
Consider f(t) = cos(9t), g(t) = et. Proceed as in this example and find the convolution f ∗ g of the given functions.
9. MATLAB Problem: Use Matlab to find the convolution y(t) of f(t)2tu(t) and h(t) ut1u(t-1). You should submit a printout of the matlab code as an m-file with comments (using %) explaining the role of each line. You should also submit a plot ofy(t) for-l sts 4. You may find Computer Example C2.4 on page 137 useful EXAMPLE FROM BOOK IS BELOW. System Response to External Input: The Zero-Sta 2.4 QComputer Example C2.4 Find c(t) = f(t) * g(t) for...
4. Use the convolution integral to find f, where f = g*h, and g(t) = et ult) h(t) = e-2t u(t) Note that both of these are causal to simplify the integration.
2.3.5,2.3.8,2.10-2.3.12 23. (a) Convolution: 1 2-5 b) Convolution: 23.6 Find and sketch the coavolution rt)f) gt) where 2.3.7 Find and sketch the convolution z(t) = f(t)-g(t) where 2.3.8 Sketch the continmous-time signals f(e), 9(t) Find and sketch the coavolution y(t)t) git). f(t)e(t) 23.9 Using the convolation integral, ind the convolution of the signal f()-t with itself. 2.3.10 Find and sketch the convolution of and (t) 2.3.11 Sketch the continmous-time signals f(t),g(t) Find and sketch the coavolution y(t)f(t).git) f(t)-u +2)-ut-2) 2.3.12...
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using convolution integral method. b) Compute g*f () with Laplace transform. o) What are the differences between the results of questions (a) and (0) above? d) Find the Laplace transform of the following function: (t 0 to +oo) e dt e) Find the equivalent solution of (d) using MATLAB method) (find 2 methods) Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using...
Find the convolution of the following functions. After integrating find the LaPlace transform of the convolution f(t)=t^2 g(t)=e^-t
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t – 7)dt is greatly simplified when either the input f(t) or impulse response h(t) is the sum of weighted impulse functions. This fact will be used later in the semester when we study the operation of communication systems using Fourier analysis methods. a) Use the convolution integral to prove that f(t) *8(t – T) = f(t – T) and 8(t – T) *h(t) = h(t...
Find the Laplace transform of the function f(t). f(t) = sint if o St<$21; f(t) = 0 if t> 21 Click the icon to view a short table of Laplace transforms. F(S) =