Note on the explicit solutions for a boundary value problem of a second-order nonlinear equation

In this note, we consider a boundary value problem for a second-order nonlinear equation: d2ydx2=λ(x)eμ(x)y,y(0)=y(1)=0,y(0)=y(1)=0, where μ(x)>0μ(x)>0 and λ(x)λ(x) are two functions satisfying certain conditions. The explicit solutions to this problem are obtained.