We have a differential equation (1-x)y" + xy' - 2y = 0. (a) Find the singular points and classify them (do not worry about what happens as ). (b) Find the Frobenius series around r = 0 corresponding to s = 0 root of the indicial equation. (c) What is its radius of convergence? (d) Find the Frobenius series around r = 0 corresponding to s = 1 root of the indicial equation. We have a differential equation (1- x)y" + xy' - 2y = 0. (a) Find the singular points and classify them (do not worry about what happens as ). (b) Find the Frobenius series around r = 0 corresponding to s = 0 root of the indicial equation. (c) What is its radius of convergence? (d) Find the Frobenius series around r = 0 corresponding to s = 1 root of the indicial equation.