The family of functions is proposed as the general solution to the differential equation
MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations
Problem
The family of functions y=Ae2x+Be−2x is proposed as the general solution to the differential equation y′′−4y=0. Determine whether this claim is valid, and state the specific reason based on the relationship between the differential equation's order and the number of arbitrary constants.