Consider y'' + 4 x^2+9 y = 0.

PHYSICS · Multi-part · 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

Consider y′′+4x2+9y=0.y'' + \frac{4}{x^2+9}y = 0. ((a)) Show that every real value of xx is an ordinary point of this equation. ((b)) Predict the radius within which the power series solutions about x=0x=0 are guaranteed to converge, by locating the singularities of the coefficient in the complex plane.

Related theory

Browse the problem library