We have a differential equation (1-x)y + xy' - 2y = 0. (a) Find the singular...

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We have a differential equation (1-x²)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- x²)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-x²)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- x²)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.

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