Use POWER SERIES to solve the following differential equation 2y' + 3y = 0. Show in EXPLICIT form minimum of 8 to 10 EXPLICIT terms, otherwise the solution would be wrong

Determine the Hermite differential equation's power series solution y' - 2xy' + 2ky Please write down the general solution in the form y = C1y1 + C2Y2

The point x = O is a regular singular point of the given differential equation. Find the recursive relation for the series solution of the DE below. Show the substitution and all the steps to obtain the recursive relation. Do not solve the equation for y=y(x) xy" + 4y' - xy = 0,