The output y(t) is given as convolution of x(t) and h(t).The convolution formulae I have mentioned in the solution.Here I have used the best and smartest approach which has to be used in this problem.I have used Graphical approach to solve this problem.The concept is all about Overlapping and I have explained that too with shaded region in the solution.
I have done my best to make you understand not only this question but also the concept behind these type of questions.If any doubt Please comment.
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D1. For x(t) and h(t) shown here, solve for the numerical value of y(t=1.5). ht) -1...
1. Assume y(t)x(th(t), where x(0) and h(t) are shown below (a) By foldi ng and sliding h(t), use time convolution to determine the numerical value of y(t) to four decimal places at t O seconds. (llustrate the graphical convolution by including sketches.) (b) Repeat part (a) for t = 3 seconds. (c) Repeat part (a) for 8 seconds. (o 3 t (sec) 7 -l t sec) 5 -&t χ(t)
Please Write clearly Thank you x(t) ht) 2 2 2.12 Functions x(t) and h(t) have the waveforms shown in Fig. P2.12. Determine and plot y(t) = x(t) *h(t) using the following methods. (a) Integrating the convolution analytically. (b) Integrating the convolution graphically. h 0 0 t(s) t(s) 0 + 1 0 2 Figure P2.12: Waveforms for Problem 2.12.
use partial derivative to solve for uf(x,y,t) if f(x,y,t) is 5X^3y-1/xy+1/xt+x^2t^2 Ux=0.5 Uy=0.2 Uz=0.3 Use numerical methos to solve also this problem
h(t) h(1) + ht) Figure Q2 (a) Q2 (a) Consider the system shown in Figure Q2 (a). Find the overall impulse response of the system, h(t) with impulse responses given below. h(t) = 3e-Stu(t) hy(t) = et u(t) hg(t) = 2t u(t) (5 marks) (b) Determine whether the system, h(t) obtained in Q2 (a) is: (1) Stable (3 marks) (ii) Causal (2 marks) Q3. (a) Explain the Gibbs phenomenon. (3 marks) (b) Given a signal 3 x(t) = x+7cos (41t+...
Assignment 2 Q.1 Find the numerical solution of system of differential equation y" =t+2y + y', y(0)=0, at x = 0.2 and step length h=0.2 by Modified Euler method y'0)=1 Q.2. Write the formula of the PDE Uxx + 3y = x + 4 by finite difference Method . Q.3. Solve the initial value problem by Runga - Kutta method (order 4): y" + y' – 6y = sinx ; y(0) = 1 ; y'(0) = 0 at x =...
Solve the following initial value problem x'(t) + y(t) = 2 y'(t) - x(t) = = δ(t − π) x(0) = 0, y(0) = 1.
The random variable z is known to be uniformly distributed between 1 and 1.5. a. Which of the following graphs accurately represents this probability density function? 1. [F(x) 0.25 05 0.75 1.25 1.5 1.75 x 2. (f(x) 0.25 05 0.75 1 1.25 1.5 1.75 2 2 x 3. [f(x) N 0.25 0.5 0.75 1.25. 15. 1.75... 2x - Select your answer - 0.25 0.5 0.75 1.25 1.5 1.75 3. f(x) 0.25 0.5 0.75 1.25 15 1.75 2 Select your answer...
Please solve this problem by hand calculation. Thanks Consider the following system of two ODES: dx = x-yt dt dy = t+ y from t=0 to t = 1.2 with x(0) = 1, and y(0) = 1 dt (a) Solve with Euler's explicit method using h = 0.4 (b) Solve with the classical fourth-order Runge-Kutta method using h = 0.4. The a solution of the system is x = 4et- 12et- t2 - 3t - 3, y= 2et- t-1. In...
please help as soon as possible 1. Consider the system shown in Figure 1 below. Ideal Ideal y(t) Sample period T Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various parts below, be sure to include appropriate units, where applicable. a) Suppose that x(t)-5. Determine all numerical values...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below y"* +6y=P - 4. y(0)= 0, y'0) = - 3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = 0 Enter your answer in the answer box. Previous