1. Math
2. Advanced Math
3. find all the independent solutions of the following differential equations...

# Question: find all the independent solutions of the following differential equations...

###### Question details

Find all the independent solutions of the following differential equations
(a) (1-x^)y"-2xy’+2y=0   (Legendre equation, n=1)

(b) (x^2)y"+xy'+(x^2)y=0   (Bessel equation, v=0)

(c) (4x^2)y"+4xy'+(4x^2-1)y=0 (Bessel equation, v^2=1/4)