## A series-iteration method in the theory of ordinary differential equations |

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### Contents

Preface | 9 |

The Basic Principle | 15 |

Linear Equation of II Order | 23 |

Copyright | |

5 other sections not shown

### Common terms and phrases

a(x)ydx adx3 analytical coefficient analytical functions Budva canonical differential equation cdx3 closed form coefficient a(x constants converges uniformly cosha(x cosine and sine cosine Fig cosine solution cosx curve diff differential equation 5.1 Dimitrovski double integrals dt J a(-t)dt dx f ential equation equation of n-th example exponential function f dx fourth order homogeneous differential equation hyperbolic hyperbolic trigonometry iterations J J a(x)dx2 LINEAR EQUATIONS linear homogeneous differential ln(l method Mijatovic multiple integrals n-th order Nonhomogeneous Canonical Equation nonhomogeneous differential equation obtain odd function oo oo oo ordinary differential equations particular integrals particular solution phase diagram phase graph phase space power series prove Riccati equation second order sina(x sine Fig sine solution sinx Skopje solution of differential solution y(x solutions 16.8 third order transformed trigonometric function usual trigonometry valid Wronskian xa(x xa(x)dx XX XX XX xxx xxx yi(x