Internal problem ID [14406]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Review exercises, page 80
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {{\mathrm e}^{8 y}}{t}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t)=exp(8*y(t))/t,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {3 \ln \left (2\right )}{8}-\frac {\ln \left (-\ln \left (t \right )-c_{1} \right )}{8} \]
✓ Solution by Mathematica
Time used: 0.346 (sec). Leaf size: 17
DSolve[y'[t]==Exp[8*y[t]]/t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{8} \log (-8 (\log (t)+c_1)) \]