Abstract:

Solving initial value problems (IVPs) of second-order ordinary differential equations (ODEs) is a fundamental task with broad applications across numerous scientific and engineering domains. Second-order ODEs describe systems where the behavior depends on both the current state and the rate of change, making them crucial for understanding dynamic phenomena. This paper introduces the process of solving IVPs for second-order ODEs, encompassing both analytical and numerical methods. Analytical solutions provide deep insights into system behavior, while numerical techniques offer practical tools for complex problems. The study explores various types of second-order ODEs, from simple harmonic oscillations to intricate real-world scenarios, highlighting the significance of IVP solutions in deciphering system dynamics. Proficiency in solving these problems equips researchers and practitioners with the means to analyze and predict the behavior of diverse systems, contributing to informed decision-making and innovative problem-solving

Description:

Problems, Solving Initial Value Problem, Methods, Second-orders