Thread: second order lenear equation 10

(1+x^2)y''+4y'=e^x
y(x0)=y0 y'(x0)=z0
how to solve this one?

and i need to deside which of the following statements are true:

which of the following contains x0 which has a single solution to the equation above?
a.every segment wich contains x0 but dont contains 0
b.every segment wich contains x0
c.every segment wich contains x0 and contains 0
d. every segment wich contains x0 but dont contains 1
e.there is no such segment