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###### Consider the following initial value problem,')y" + llzy' 47y = 0, y(0) = 4 y (0) = 0.Note: For each part below you must give your answers in terms of fractions (as appropriate), not decimalsa) This differential equation has singular points atNote: You must use semicolon here to separate your answers_Since there is no singular Point atI = 0, you can find norma power series solution for y(z) about =0, i.8.,y(z) am 1m m=0As part of the solution process you must determine the recurre

Consider the following initial value problem, ')y" + llzy' 47y = 0, y(0) = 4 y (0) = 0. Note: For each part below you must give your answers in terms of fractions (as appropriate), not decimals a) This differential equation has singular points at Note: You must use semicolon here to separate your answers_ Since there is no singular Point atI = 0, you can find norma power series solution for y(z) about =0, i.8., y(z) am 1m m=0 As part of the solution process you must determine the recurrence relation for the coefficients Gm: Enter your expression for Gm+2: am+2 (m"2-12*m+47)(m^2+3*m+2) am

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