Classify the point of y'' + 2 x^3 y' + 1 x^2 y = 0 and

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Ordinary differential equations · Ordinary differential equations

Conditions of Validity, Ch Series solutions, singular points and where the special functions come from

Problem

Classify the point x=0x=0 of y′′+2x3y′+1x2y=0y'' + \frac{2}{x^3}y' + \frac{1}{x^2}y = 0 and, if it is a regular singular point, write down the indicial equation.

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