Question: Please help with the following question (multiple part) (10 points) Consider the Cauchy-Euler equation 4x2y - 9xy' + 3y =0, y(1) = 0, y'(1) =

Please help with the following question (multiple part)

Please help with the following question (multiple
(10 points) Consider the Cauchy-Euler equation 4x2y" - 9xy' + 3y =0, y(1) = 0, y'(1) = 3. (a) Find the auxiliary equation and its roots. (b) Find a fundamental set of solutions and the general solution for the Cauchy- Euler equation. (c) Find the unique solution satisfying the initial condition

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