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Exercise 7.3.8: In the following equations classify the point x = 0 as ordinary, regular singular,...

Exercise 7.3.8: In the following equations classify the point x = 0 as ordinary, regular singular, or

singular but not regular singular.

a) x2(1+x2)y′′ +xy=0

b) x2y′′ +y′ +y=0

c) xy′′ +x3y′ +y=0

d) xy′′ +xy′ −exy=0

e) x2y′′ +x2y′ +x2y=0

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