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Differential Equations
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Notes on Mathematics -
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Sylvester's Law of Inertia
Contents
Ordinary Differential Equation
Subsections
Differential Equations
Introduction and Preliminaries
Separable Equations
Equations Reducible to Separable Form
Exact Equations
Integrating Factors
Linear Equations
Miscellaneous Remarks
Initial Value Problems
Orthogonal Trajectories
Numerical Methods
Second Order and Higher Order Equations
Introduction
More on Second Order Equations
Wronskian
Method of Reduction of Order
Second Order equations with Constant Coefficients
Non Homogeneous Equations
Variation of Parameters
Higher Order Equations with Constant Coefficients
Method of Undetermined Coefficients
Solutions Based on Power Series
Introduction
Properties of Power Series
Solutions in terms of Power Series
Statement of Frobenius Theorem for Regular (Ordinary) Point
Legendre Equations and Legendre Polynomials
Introduction
Legendre Polynomials
A K Lal 2007-09-12
