Higher order differential equations

SECOND ORDER DIFFERENTIAL EQUATIONS

Some types of second order ODE's reducible to first order ODE's

SECOND ORDER LINEAR ODE'S

General solution (homogeneous equation)

General solution (inhomogeneous equation)

Variations of parameters

2ND-ORDER LINEAR CONSTANT COEFFICIENT DIFFERENTIAL EQUATIONS

LINEAR EQUATIONS OF THE NTH ORDER WITH CONSTANT COEFFICIENTS

Homogeneous linear equations of the nth order with constant coefficients

Non homogeneous linear equations of the nth order with constant coefficients

THE DIFFERENTIAL EQUATION OF MECHANICAL OSCILLATIONS

SYSTEMS OF DIFFERENTIAL EQUATIONS

PROBLEM LEADING TO THE SYSTEM OF ODE'S. PHASE SPACE

NORMAL SYSTEMS OF ODE'S

A NUMERICAL METHOD FOR SOLUTION OF SYSTEM OF ODE'S

LINEAR SYSTEM OF FIRST-ORDER ODE'S WITH CONSTANT COEFFICIENTS

ELEMENTS OF STABILITY THEORY

LYAPUNOV'S THEORY OF STABILITY

DYNAMICAL SYSTEMS

Properties of autonomous systems

The phase line. The phase plane

Trajectories of linear systems. Classification of stationary points

METHOD LINEARIZATION (GENERAL CASE)

Lyapunov's theorems

NONLINEAR OSCILLATIONS IN THE SYSTEM "PREDATOR-PREY"

DOUBLE AND TRIPPLE INTEGRALS (20p.) (doubl_tripl_integral.pdf)

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