Impulse Response Using Laplace Transform | Differential Equation Solved Step by Step

In this video, we solve a Signals and Systems numerical problem to determine the impulse response of a continuous-time LTI system using the Laplace Transform. Starting from the given differential equation, we derive the system transfer function \(H(s)\), apply partial fraction decomposition, and obtain the impulse response \(h(t)\) using the inverse Laplace Transform. Topics Covered: Finding impulse response from a differential equation Laplace Transform of differential equations Transfer function (H(s)=Y(s)/X(s) Partial fraction decomposition Inverse Laplace Transform Step-by-step numerical problem Subscribe to Jatayu Learning and Innovation for more Signals and Systems tutorials, numerical problems, and engineering exam preparation. #ImpulseResponse #LaplaceTransform #SignalsAndSystems #TransferFunction #DifferentialEquations #EngineeringMathematics #dsp