solving the differential equations

1. y'' - 2xy' + 3y = 0

2. (1+2x)y'' - 3xy' + 2y = 0

solving the differential equations by using method of Frobenius

3. 3x^2 y'' + 2xy' + x^2 y = 0

4. 3xy'' + 2y' + 2y = 0

Is Frobenius one of the crazy mathematicians ?

thanks for your help.