xy" + x(1 + x)y' – 3(3+ x)y = 0 Use the appropriate method to determine two linearly independent series solutions about x, = 0. Indicate, the indicial equation, the root(s) of the indicial equation,...

xy" + x(1 + x)y' – 3(3+ x)y = 0

1. Use the appropriate method to determine two linearly independent series solutions about x, = 0. Indicate, the indicial equation, the root(s) of the indicial equation, and the recurrence relation, where applicable.


2. Determine its second series solution using Wronskian Method. By substitute e^-x as a series