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

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Algebra

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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'ydydra +1Guess 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(+...) + a?(+...)(6 marks)

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