From the course: Complete Guide to Differential Equations Foundations for Data Science

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Second order differential equations introduction

Second order differential equations introduction

From the course: Complete Guide to Differential Equations Foundations for Data Science

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Second order differential equations introduction

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- [Instructor] In this chapter, you'll begin exploring second order differential equations. These equations tend to be the next easiest to work with, hence why they are the second ones to be discussed. Let's start off with reviewing what second order differential equations are. A second order differential equation is when the highest derivative is a second derivative. This is denoted either by y double prime or d squared y divided by dx squared. Make sure you note where the squared values are. So again, the squared is before the y and after the x when notating it. These are a few examples of second order differential equations. So you have y double prime plus five multiplied by y prime equals e to the x minus two. Then you have d squared y divided by dx squared minus dy/dx plus y equals two multiplied by x to the fourth minus nine. Finally, you have y double prime plus five multiplied by y equals zero. There are various forms you can have your second order differential equations in…

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