3: First-Order ODEs
( \newcommand{\kernel}{\mathrm{null}\,}\)
The general first-order differential equation for the function y=y(x) is written as dydx=f(x,y),
where f(x,y) can be any function of the independent variable x and the dependent variable y. We first show how to determine a numerical solution of this equation, and then learn techniques for solving analytically some special forms of (???), namely, separable and linear first-order equations.