2x^3(y''')-3x^2(y'')+5xy'=0

- Nov 23rd 2009, 03:16 PMLink88Find the general solution of the following Cauchy-Euler differential equations.
2x^3(y''')-3x^2(y'')+5xy'=0

- Nov 23rd 2009, 11:40 PMchisigma
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