x(t) has the fourier transform x(jw) show dx(t)/dt has the fourier transform jw x(jw)
Please solve this differentail equation step by step 2 an - bn dt
Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = ) Using the convolution property of Fourier Transform to find the following convolution: sinc(t) * sinc (4t) [Hint: sinc(t) or rect(w/2)] TC .
solve Question 6: Given that v(0) = 2 and dv(0)/dt = 4, solve the following second-order differential equation d- du ( +54 + 60 = 10e-'u(t) dt 4 marks
1. Show that if x(t) is an even function of t, then X(jw)2 (t) cos(wt) dt and if r(t) is an odd function of t, then X(jw)2j (t) sin(wt) dt
Anyone please help me step by step Thank you dx dt dy dt v=vo +at 1) A car is traveling at +40 m/s and brakes to a stop with constant acceleration over 200 m. a) Draw a picture that shows all the relevant physical quantities, including unknowns b) Solve for the stopping time symbolically based on the given quantites (do not substitute in any values, including 0 values). e) What is the stopping time (numerically)?
What is the Fourier Transform of f(t) = e =2* u(t)? 2 + jw 1 1 2-jw 1 1+2jw 1 1 iw - 2
JS Halliday, F als of 10e 012 1.33
Solve using Wolfram Cloud dt dt
What is the Fourier Transform of f(t) = 58(t – 1)? المهم ООО 5e-5jW 5e jw