An analytical solution for a nonlinear differential equation with logarithmic decay (Q1121417)

The initial problem \((*)\quad du/dt=-p\cdot \exp (-q/u),\) \(u(0)=a\), where p,q,a\(\in {\mathbb{R}}\) are given, is considered. The author proves that the numerical solution u of the problem (*) may be reduced to computing parameter-free solution w of the problem \(dw/dt=-\exp (-1/w),\) \(w(0)=1\).