5. [Medium] (Laplace Transform (System)) Use Laplace transform method to find the PS of 3 -1 X X y = X(0) = 0 8 cost +25 1 У sin t
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Q: Find (a) L {t (e² + e²t) 2} (b) L {(1 − et + 3e-4t) cos 5t} (c) L-1 6s+3 84 +5s2 +4 }
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Q: [a, at]=[b, b]= 1, [a, b] = [a, b]=[a, b] = [a, b]=0 ata = (a+ax +ața, +iața, — iata,), - b+b= (a+ax…
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Q: 24. What is the value of ¿4, where i 25. Simplify log2 (8). = −1? 26. If P(x) = x³- 2x² + 5x - 10,…
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- f(x)= 2+ Show that fe L²(R) and find the L2-norm of the Fourier transform ofchoose the correct answer from the following options the fourier Transform of the following signals is:-e^(-3t) u(t) * O 1/(3-jw) O 1/(3+jw) 3/(1-jw) O 3/(1+jw)Laplace Transform that can be used to solve IVP. Attached is my work with the incorrect answer if that helps. Attached
- Fourier transform of f(t) = 3te²tu(t) is Select one: 3 iw-2 2 (iw)2–22 3 (iw-2)2 3 iw+2 iw iw²–2²Find the Fourier transform of 1 01/(3e^9) *e^tu(t-9)-e^18e^(-2t)u(t-9) The answer above is NOT correct. f(t) Entered The inverse Laplace transform of_F(s) = 3e 1 · e¹u(t−9) – e¹8e-2tu(t – 9) 9 Use step (t-c) for uc(t) -9s e s² + 1s - 2 is Answer Preview Result incorrect Message Variable 'u' is not defined in this contextFind the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to the next ouestion.prevents changes to chis anaWer4- Inversely transform, L^-1, the following function with inverse transform of Laplace. (Check attached image) a) Data: Identify the coefficients, constants and/or initial conditions that are provided in the problem. Also, write down those functions that must be determined. b) Fundamentals: Explain the procedure, seen that leads to obtaining the inverse Laplace transform L^-1[Y(s)] = y(t). c) Argumentation/Development: Develop the necessary transformations to obtain y(t). d) Result: Write down the transform y(t).Find the Fourier cosine transform of e-x.