The second order equation y" + x2y = 0 has an ordinary point at x = O and therefore has a power series solution ∞ y(x) = [ Cnx". n=0 Plug this formula into the differential equation and then adjust the index in the two series so that they both contain x-2. Under the assumption that C₂ = C3 = 0 you will then be able to combine the two series into a single series with index running from 4 to ∞. The recurrence relation for this equation can be written in the form Сп 1)Cn-4 n = 4,5,.... The general solution can be written in the form y(x) = Ay₁(x)+ By2(x), where A = Co and B C₁ are arbitrary constants and Y₁(x)=1+ Σα AnxAn " Y2(x) = x+ n=1 Find a1, a2 and b1, b2. Enter your answers as a comma separated list a1, a2 b1, b2 n=1 bnxAn+1