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Knowing that u c(t) it is the unit step function, the inverse Laplace Transform of the function F(s)= (e-s(s-2))/(s2 - 4s +3)is:
a) f(t) = u1(t) e2(t-1) cosh(t - 1)
b) f(t) = u1(t) e2(t-1) cosh(t)
c) None of the answers
d) f(t) = u2(t) e2(t-1) cosh(t - 1)
e) f(t) = u2(t) e2(t-1) cosh(t - 2)
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- For the circuit shown in Figure, the switch in the circuit has been closed for a long time and is opened at t=0, use Laplace transform to find i(t) for t > 0. assume x=3, y=4 , z=4 ( if found in the circuit)Please send the answer by typing only. I don't want handwritten. The subject is about Systems and Signals MATLAB application ( Convolution, Laplace and Z transform )Explain the Laplace transform and its significance in modeling and analyzing linear time-invariant systems.
- 3. Represent the following function using unit step function and find its Laplace transform. h(t) = 4t² for 3 <t<5Solving Differential Equation using Laplace transform: dy(t)/dt +2y(t)=3u(t) Initial condition y(0) = 0 Hello, I am doing some practice and I want to make sure I am doing this right while using the correct steps. Thank you for your time and help.Describe the Laplace transform and its role in analyzing continuous-time system models.
- Find out the Laplace transformation of the unit step function. I am new to the topic. Please solve in detail, please.the inverse laplace transform for the following function: X(s) = (5s + 2)/( s2 + (5/2)s + 1 ) i need detailed steps on how to complete the inverse transform of the above problem. if you could also include notes on how to procede on future problems will be greatly appreciated.Know how to analyze a circuit in the s domain and be ableto transform an s-domain solution to the time domain Express i2 as a function of di1/dt when i2 is at its peak value.
- Calculate y(t)=x(t)*v(t) using the convolution integral for the continuous signals x(t) and v(t) given in the figure below. Write the result of y(t) as a piecewise function. Also, show the result in an approximate way by drawing a graph.Can you write the operations with explanations? In the circuit in the figure, the movement of the switch takes place at the time t= 0 for t>0Find the voltage value V0(t) using the Laplace transform?The dynamics of a system which has an input and output of the differential equation, d^2y(t)/dt + 3dy(t)/dt + 2y(t) = r(t), where the initial conditions are given as y(0) = 0, dy(t)/dt =0, r(t) =1, t>=0. Use Laplace transform to solve for the time response of the system, (ie solve for y(t), t>=0)