More generally the equation

d[eta]

------ = A + B[eta] + C[eta]^2,

dx

where A, B, C are functions of x, is, by the substitution

1 dy

[eta] = - -- --,

Cy dx

reduced to the linear equation

d^2y / 1 dC\ dy

---- - ( B + - -- )-- + ACy = 0.

dx^2 \ C dx/ dx

Encyclopaedia Britannica, 11th Edition, "Diameter" to "Dinarchus" Volume 8, Slice 4 · 第 41 / 86 题