Some important differential equations :
1)Airy differential equation
y'' – xy = 0
2)Bernoulli differential equation
y' + p(x)y = q(x)y
n
3)Bessel differential equation
x
2
y'' + xy' + (λ
2
x
2
– n
2
)y = 0
4)Binomial differential equation
(y')
m
= f(x, y)
5)Chebyshev differential equation
(1 – x
2
)y'' – xy' + α
2
y = 0
6)d'Alembert'sdifferential equation
y = x f(y') + g(y')
7) Euler differential equation
x
2
y'' + axy' + by = s(x)
8) Rayleigh differential equation
y'' – μ(1 – 1/3(y')
2
)y' + y = 0