Basing on Laplace transform and differentiation, this article explores the changing circuit instantaneous initial value of complex capacitive circuit from two different ways so that we seek a new way to solve the problem of impulse response of dynamic elements and find a new way to solve similar problems by validating.

In the paper, a solution for heat condution problem in an infinitely long bar with composite transform method is obtained, which derived from Fourier transform and Laplace transform.

Analysing the transition procedure of circuit by Laplace transform;

Hybrid Laplace transform finite element method for solving the convection-dispersion problems;

A numerical inversion for the laplace transform of Lubich with application to partial differential equation;

Solution of beam deflection curve based on laplace transformation;

Application research of the Laplace Transformation;

Based on the analytic solution of 1-D steady water quality model for river flow,it has been transformed as normal distribution equation with a=ut and δ=2Et by Laplace transformation.

In this paper Laplace transforms is utilized in viscoelastic theory of polymers making the relations between various viscoelastic functions like relaxation modulus, creep compliance and functiqns representing dynamic behavior simple and clear, relaxation spectrum and retardation spectrum are defined in terms of Laplace transform to correlate all viscoelastic functions.

With Laplace transforms,the question can be solved in Laplace d.

In this paper,the exact bound state solutions of the three-dimensional radial Schrdinger equation with the isotropic harmonic oscillator are simply derived from Laplace transforms.