Welcome to Week 1 of differential
equations for engineers. In this week, we'll learn about
First-Order Differential Equations. These ODEs might involve variables
undergoing exponential growth or decay. I'll begin by explaining the oil and
numerical method for solving an ODE, and then discuss how to solve
analytically separable equations, with to have the form g(y) dy/dx = f(x). And linear equations, which have the form dy/dx + p(x)y = g(x). Finally, I will derive the ODEs for
the applications of compound interest. Terminal velocity and the resistor
capacitor or RC electrical circuit. Please join me in this first week of
differential equations for engineers.