In general, the Riccati -type equations (50a,b) are hard. However, we should be able to solve them if the given nonconstant -coefficient equationy″ + ax(x)y′ + a2(x)y =0 is a Cauchy - Euler equation because that case is simple. Thus, use the method of factoring the operator for these equations:
x2y″+xy′− 9y= 0
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