Step Response of a System 

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explained in very simple manner, got the concept very well, thanku sir

Outstanding explanation in short time.

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great video!!! thanks a lot

For part b, I performed the convolution of u(t) and h(t) where u(t) is the step input and h(t) is the time domain transfer function. The convolution of u(t) and h(t) is e^(-2t)*u(t). From here, take the derivative with respect to time on both sides. On the left hand side, use the fundamental theorem of calculus part 1 to figure out that the integral of h(tau) d(tau) from 0 to t is just h(t). Note, u(t-tau) is equal to 1 from 0 to t. u(t-tau) represents the shifted function in the convolution operation. On the right hand side, perform the product rule and realize that the derivative of the step input is the Dirac Delta Function (the impulse function). h(t) turns out to be -2e^(-2t)*u(t)+delta_0(t)*e^(-2t). Taking the Laplace Transform of h(t) gives H(s) which is the Transfer Function of the system. H(s) turns out to be -2/(s+2)+1. Multiplying H(s) by 1 gives Y(s), the impulse response. Taking the Inverse Laplace Transform of Y(s) gives y(t) equals delta_0(t)-2*e^(-2t).

Thank you sir

please explain the cover-up method in case of repeated roots with squared on the roots

We can differentiate also right the step signal to get the impulse

thanks Sir🙏❤

You omitted the unit step function because it is equal to 1 from 0 to infinity, but when you integrate unit step function you get area under the curve which is not equal to 1

Thank u sir

Wonderful

Keep doing sir

Why didn't you just directly take the inverse laplace of H(s)=s/(s+2) to get del(t) - 2e^-2t ?

Select all the correct answers. A discrete-time system's response to a step input can be found by: Select 2 correct answer(s) Using the convolution sum with a unit step sequence. Integrating the system's transfer function. Applying the initial conditions directly. Summing the impulse responses

Step response of a system? More like "Super great information!" Thanks again for making and sharing all of these really high-quality videos.

why we can't find the impulse response by finding the inverse laplace transform of the transfer function H(s)....as in first part you had taken h(t) as impulse response

Wow

Can u create an android playlist pls??

But I read that limits are from minus infinity to t.....pls guide

Sir wt about the content writer?

why u r taking .u(t) for impulse and step responses sometimes