Laplace-transform-2.pdf

LAPLACE TRANSFORM ENGR. JAY NADZ G. LIBARDO PLANT SUPERVISOR & PART TIME INSTRUCTOR ADVANCE MATHEMATICS FOR ELECTRICAL ENGINEERING LAPLACE OF DIFFERENTIAL EQUATION TYPES OF DENOMINATOR FOR PARTIAL FRACTIONS Real and Distinct Real and Equal Complex INVERSE LAPLACE TRANSFORM The Inver...

LAPLACE TRANSFORM ENGR. JAY NADZ G. LIBARDO PLANT SUPERVISOR & PART TIME INSTRUCTOR ADVANCE MATHEMATICS FOR ELECTRICAL ENGINEERING LAPLACE OF DIFFERENTIAL EQUATION TYPES OF DENOMINATOR FOR PARTIAL FRACTIONS Real and Distinct Real and Equal Complex INVERSE LAPLACE TRANSFORM The Inverse Laplace Transform is a mathematical operation that reverses the process of the Laplace Transform. It takes a function in the complex 𝑠s-domain and converts it back into the time- domain function. Mathematically, if 𝐹(𝑠) is the Laplace Transform of a function 𝑓(𝑡), then the Inverse Laplace Transform of 𝐹(𝑠), denoted as 𝐿−1{𝐹(𝑠)}, gives back 𝑓(𝑡). The Inverse Laplace Transform is often computed using techniques like partial fraction decomposition, contour integration, or tables of known transforms.