How do I solve this

f''(x) +(1/2x) f'(x) + f(x) =0 ??

How do I start it?

Printable View

- Oct 22nd 2012, 10:30 PMprincessmathSolving a simple second order DE
How do I solve this

f''(x) +(1/2x) f'(x) + f(x) =0 ??

How do I start it? - Oct 22nd 2012, 11:06 PMSironRe: Solving a simple second order DE
It looks easy but it's not because of the coefficient $\displaystyle \frac{1}{2}x$.

Take a look here:

solve y''+(1/2 x)y'+y=0 - Wolfram|Alpha - Oct 22nd 2012, 11:14 PMMaxJasperRe: Solving a simple second order DE
If that is $\displaystyle \frac{1}{2x}$ then:

$\displaystyle f(x)=c_1 \sqrt[4]{x} J_{\frac{1}{4}}(x)+c_2 \sqrt[4]{x} Y_{\frac{1}{4}}(x)$ - Oct 23rd 2012, 12:42 AMprincessmathRe: Solving a simple second order DE
WTF?

How do I do it on paper?