In this paper, the Laplace Transform is used to find explicit solutions of a fam-ily of second order Differential Equations with non-constant coefficients. For some of these equations, it is possible ...

As we know that the power series method is a very effective method for solving the Ordinary differential equations (ODEs) which have variable coefficient, so in this paper we have studied how to solve ...

To solve the Second Order Differential Equation (ODE). In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable ...

Notifications You must be signed in to change notification settings The present work aims to create a program to solve Ordinary differential equations of the second order. Using MathWorks compiler — ...

Abstract: We propose and experimentally demonstrate an on-chip silicon photonic differential-equation solver that can be used to solve second-order constant-coefficient ordinary-differential-equations ...

A system of linear ordinary differential equations with exponential coefficients is considered; several theorems are presented concerning general solutions and their asymptotic forms for large values ...

Let w1 and w2 be two linearly independent solutions to w" + Aw = 0, where A is a transcendental entire function of order $\rho(A) < 1$. We show that the exponent of convergence λ(E) of the zeros of E ...

Abstract: Simulation and control of many dynamic systems involve solving partial differential equations (PDE). This letter proposes a semi-analytical solution (SAS) approach for fast and high-quality ...