Signals and Systems: Time Shift and Reflection

This lecture covers the interpretation of time shift, reflection, area calculation, response of a system, convolution, elementary excitations, impulse responses, differentiation operators, homogeneous solutions, differential equations, characteristic polynomial, green function, inverse operator, RC circuit example, linear differential equations, system response, zero excitation, and characteristic modes. It emphasizes the factorization of differential operators, characteristic modes, and the importance of specifying initial conditions for a unique solution.