In this question, the power series method is to be applied

Last updated: 8/14/2022

In this question, the power series method is to be applied to find the general solution of a differential equation. The power series solution is expressed as: y = a0 + al*x + a2*x^2 + a3*x^3 + ... In representing your general solution to the given differential equation, use a format like that demonstrated above. After verifying that the power series method applies, find the general solution (to 5 terms) using the power series method to the DE: d'y dy dra +1 Guess solution: y = a0 + a1*x + a2*x^2 + a3*x^3 + a4*x^4 + ... Find recurrence relations (in terms of a0 and al) by equating the coefficients of a", for n=0,1,2,.... a2 = a3 = + 5y = 0. a4 = Find the general solution to 5 terms (i.e. to x^4 term) in terms of a0 and al: y = ao( +...) + a₁( +...) (6 marks)