Question: Differential equation x^2y - 3xy' - 3xy + 4y = 0 Consider the differential equation x2y - 3xy' - 3xy + 4y = 0. (a)

Differential equation x^2y" - 3xy' - 3xy + 4y = 0

Differential equation x^2y" - 3xy' - 3xy + 4y = 0 Consider

Consider the differential equation x2y" - 3xy' - 3xy + 4y = 0. (a) By using the method of Frobenius, find the recurrence relation and obtain one series solution. Leave your answer until the first three non-zero terms. (17 marks) (b) Then, use the reduction of order method to find a second linearly independent solution of the differential equation. Leave your answer until the first three non- zero terms. (8 marks)

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