مشروع البحث: Solving Ordinary Differential Equations With Variable Coefficients Using Laplace Transform
| dc.contributor.advisor | د.اسماء محمد كنان | |
| dc.date.accessioned | 2024-12-04T09:17:08Z | |
| dc.date.available | 2024-12-04T09:17:08Z | |
| dc.description | Introduction In mathematics, in general the differential equation is an equation in which the variable is a function, where the equation shows the relationship between the function and its derivatives. Solving the differential equations means finding all functions that satisfy this equation. The set of these functions is called the general solution to the equation (solution family), each element of this set is called a special solution to the equation. Differential equations play an important role in explaining physical and chemical scientific phenomena. The reason for this is that we can write the differential equations with many variables as a function of derivatives such as the speed and location of different bodies, so it is necessary to know the solution to these rates and how to deal with them. It should be noted that in many cases it is not possible to solve the equation completely algebraically, so it is important to get acquainted with the theories and properties of these equations, which by their nature facilitate framing the solution. | |
| dc.description.abstract | Abstract In this work, we study solving the linear ordinary differential equations the second order with variable coefficients using the Laplace transformation. For that we start with some of important basic concepts about the linear ordinary differential equation, and give a short study of the linear differential equation of first order with variable coefficients. Also, we study the Laplace transformation and its inverse, their definitions and properties, also give the Laplace transformation and its inverse for some important functions. Then we use this transformation and its inverse to solve the linear differential equations of second order with variable coefficients and give examples to illustrate our study, we also solved the same examples using Maple. | |
| dc.identifier | 24392 | |
| dc.identifier.uri | https://dspace.academy.edu.ly/handle/123456789/511 | |
| dc.subject | Solving Ordinary Differential Equations With Variable Coefficients Using Laplace Transform | |
| dc.title | Solving Ordinary Differential Equations With Variable Coefficients Using Laplace Transform | |
| dspace.entity.type | Project | |
| project.endDate | 2024 | |
| project.funder.name | الرياضيات | |
| project.investigator | منال عمر محمد قجام | |
| project.startDate | 2023 |