How should I solve this using the Frobenius method.

56 Views Asked by At

This is the differential equation.

$$ x(x-1)\frac{d^2y}{dx^2} + 3x\frac{dy}{dx} + y = 0 $$

Using the power series method, we get the roots of indical equation to be $0$ and $1$.
Where $ y = \sum_{n=0}^{\infty} a_n x^{n+r} $.

The coefficients for $r = 0$ are undefined.