Numerical Analysis: Basic Concepts about First Order Ordinary Differential Equations (ODEs)
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Numerical Analysis: Basic Concepts about First Order Ordinary Differential Equations (ODEs)
A first-order scalar ordinary differential equation takes the form y' = dy/dt = f(t,y). The simplest form of this is a pure antiderivative problem y' = dy/dt = f(t). This is solved by direct integration with an additive integration constant. A harder form is an autonomous differential equation y' = dy/dt = f(y). The simplest example of this is ...
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