## Differential Equations |

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### Contents

DEFINITIONS FORMATION OF EQUATIONS PHYSICAL AND GEOMETRICAL INTERPRETATIONS | 1 |

SEPARATION OF VARIABLES AND HOMOGENEITY | 17 |

EQUATIONS OF FIRST ORDER FIRST DEGREE J THE BERNOULLI EQUATION INTEGRABLE FORMS | 30 |

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18 other sections not shown

### Common terms and phrases

Accordingly applied approximation arbitrary constants axis beam Bessel equation Bessel functions CHAPTER complementary function yc consider constant coefficients derivatives determined discussion elastic equa equation of motion example expansion expression Find the curve Find the equation formula Fourier series func gamma function given differential equation given equation harmonic illustration independent variable integral curves interval left member Legendre Legendre's equation linear equation mathematical method of undetermined mt dt numerical nx dx ordinary differential equation orthogonal partial differential equation particular integral yp particular solution plane polar coordinates polynomial positive integer Prob PROBLEMS produce proportional quantity rectangular coordinates result right member satisfies the given separation of variables singular solution slope Solve spring student substitution tangent tion undetermined coefficients unknown function values variation of parameter velocity vertical vibration zero