Internal problem ID [14298]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {{\mathrm e}^{t y}+\frac {t \,{\mathrm e}^{t y} y^{\prime }}{y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(exp(t*y(t))+t*exp(t*y(t))/y(t)*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 11
DSolve[Exp[t*y[t]]+t*Exp[t*y[t]]/y[t]*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {c_1}{t} \]