MathCastle
Differential EquationsEasyFrobenius & Special Functions

Frobenius & Special Functions · Easy problem

Substituting y=xry = x^r into the Cauchy–Euler equation x2y′′+2xy′−6y=0x^2y'' + 2xy' - 6y = 0 gives a quadratic equation for rr. Compute the sum of its two roots.