Question

Consider the differential equation:

(1+x^2)y"-6y=0

Answer 1

show that the general solution can be written as:\[y(x)=C _{1}(x+x ^{3})+C _{2}\sum_{ n=0 }^{ \infty} [((-1)^{n}x ^{2n})/((2n-1)(2n-3))]\]
\[ C _{1}, C _{2} \rightarrow arbitrary constants\]

Answer 2

please. any1 help me with this..