8 Ordinary Differential Equations: Take One Step Forward
8.1 The Basic Idea
Ordinary differential equations are ubiquitous in engineering and science. Many problems in these fields deal with change, and the equations of change are differential in nature. Ordinary differential equations have only one independent variable—say, time. Many can be solved in closed form, but more cannot. Fortunately, the numerical methods available for solving ordinary differential equations are excellent. Partial differential equations have more than one independent variable and are therefore harder to solve, in closed form or numerically. The numerical solution ...
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