Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 18

Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 18

Published $\text {1968}$

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$18 \quad$ Basic Differential Equations and Solutions

$18.1$: Separation of Variables

$18.2$: Linear First Order Ordinary Equation:

Solution to Linear First Order Ordinary Differential Equation

$18.3$: Bernoulli's Equation:

Solution to Bernoulli's Equation

$18.4$: Exact Equation:

Solution to Exact Differential Equation

$18.5$: Homogeneous Equation

Solution to Homogeneous Differential Equation

$18.6$: Equation of form $y \map F {x y} \rd x + x \map G {x y} \rd y = 0$

$18.7$: Linear, Homogeneous Second Order Equation

Solution of Constant Coefficient Homogeneous LSOODE

$18.8$: Linear, Nonhomogeneous Second Order Equation

Solution of Constant Coefficient LSOODE

$18.9$: Euler of Cauchy Equation

Conversion of Cauchy-Euler Equation to Constant Coefficient Linear ODE

$18.10$: Bessel's Equation

Solution Set to Bessel's Equation

$18.11$: Transformed Bessel's Equation

Solution Set to Transformed Bessel's Equation

$18.12$: Legendre's Equation

Solution to Legendre's Differential Equation

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