DICC

6.1. THE DIFFERENTIAL EQUATIONS OF THE MOTION OF A PARTICLE IN THREE DIMENSIONS	6.3.3 Determination of the Solution by Boundary values. The Loaded Cable and Loaded Beam	6.5.5 Systems of Differential Equations and Differential Equations of Higher Order
6.1.1 The Equations of Motion	6.4 LINEAR DIFFERENTIAL EQUATIONS	Exercises 6.5
6.1.2 The Principle of the Conservation of Energy	6.4.1 Principle of Superposition. General Solutions	6.6 THE POTENTIAL OF ATTRACTING CHARGES
6.1.3 Equilibrium. Stability	6.4.2 Homogeneous Differential Eqnations of the Second Order	6.6.1 Potentials of Mass Distributions
6.2 EXAMPLES OF THE MECHANICS OF A PARTICLE	Exercises 6.3	6.6.2 The Differential Equation of the Potential
6.2.1 Path of a Falling Body	6.4.3 The Non-homogeneons Differential Equation. Method of Variation of Parameters	6.6.3 Uniform Double Layers
6.2.2 Small Oscillations about a Position of Equilibrium	6.4.4 Forced Vibrations	6.6.4 The Theorem of Mean Value
6.2.3 Planetary motion	Exercises 6.4	6.6.5. Boundary-value Problem for the Circle. Poisson's Integral
Exercises 6.1	6.5 GENERAL REMARKS ON DIFFERENTIAL EQUATIONS	6.7 FURTHER EXAMPLES OF PARTIAL DIFFERENTIAL EQUATIONS
6.3 Further Examples of Differential Equations	6.5.1 Differential Equations of the First Order and their Geometrical Interpretation	6.7.1 The Wave Equation in One Dimension
6.3.1 The General linear Differential Equatlon of the First Order	6.5.2 The Differential Equation of a Family of Curves. Singular Solutions. Orthogonal Trajectories	6.7.2 The Wave Equation in Three-dimensional Space
6.3.2 Separation of Variables	6.5.3 The Integrating Factor - Euler's Multiplier	6.7.3 Maxwell's Equations in Free Space
Exercises 6.2	6.5.4 Theorem of the Existence and Uniqueness of the Solution	Exercises 6.7