Use Fuch's theorem to determine the minimum radius of convergence
for series solution expanded around x = 0 for xy"+sinxy'+x^2y=0 anyone understands this.

Question

Use Fuch's theorem to determine the minimum radius of convergence
for series solution expanded around x = 0 for xy"+sinxy'+x^2y=0 anyone understands this.

abb0t · Answer

Start by normalizing the function. Divide everything by "x" to find your singular points. $y''+\frac{ \sin(x) }{ x }y'+xy=0$

abb0t · Answer

I believe that the differential equation has no finite singular points since it is analytical at x=0 
(analytical meaning both continuous and differentiable). So your radius of convergence is |x| > infinity

abb0t · Answer

You can check that it is analytical by finding the Maclaurin series for sin(x).