May 2022
Intermediate to advanced
487 pages
9h 22m
English
Content preview from Differential Equations, 3rd Edition
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2Solving First-Order Equations
Separable equations
First-order linear equations
Exact equations
Orthogonal trajectories
Homogeneous equations
Integrating factors
Reduction of order
2.1 Separable Equations
In this section we shall encounter our first general class of equations with the properties that
We can immediately recognize members of this class of equations.
We have a simple and direct method for (in principle) solving such equations.
This is the class of separable equations.
A first-order ordinary differential equation is separable if it is possible, by elementary algebraic manipulation, to arrange the equation so that all the dependent variables (usually the y variable) are on one side and all the independent ...
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