Cauchy-Euler equation

Consider the second-order linear ordinary differential equation $x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} - y = 0, x \geq 1$ with the initial conditions $y(x = 1) = 6, \frac{dy}{dx}...

A differential equation is given as $x^2 \frac{d^2 y}{dx^2} - 2x \frac{dy}{dx} + 2y = 4$. The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$...