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

$18 \quad$ 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