Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations

We prove the generalized Hyers-Ulam stability of the 2nd-order linear differential equation of the form +()+()=(), with condition that there exists a nonzero 1∶→ in 2() such that 1+()1+()1=0 and is an open interval. As a consequence of our main theorem, we prove the generalized Hyers-Ulam stability of several important well-known differential equations