2x^3(y''')-3x^2(y'')+5xy'=0
Let's suppose to search as solution of the DE...
(1)
... function of the type . Is...
(2)
... and the substitution of (2) in (1) leads us to write...
(3)
If , and are the roots ot the algebraic third order equation (3), then the general solution of (1) will be...
(4)
Kind regards