What is the general solution of the differential equation x²y^('')+2xy'-6y=0?
a) y=c_(1)e^(2x)+c_(2)e^(-3x)
b) y=c_(1)e^(-2x)+c_(2)e^(3x)
c) y=c_(1)e^(2x)+c_(2)e^(3x)
d) y=c_(1)e^(-2x)+c_(2)e^(-3x)