# 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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