Internal problem ID [14296]
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: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {-y-\left ({\mathrm e}^{y}-t \right ) y^{\prime }=-{\mathrm e}^{2 t}} \]
✗ Solution by Maple
dsolve((exp(2*t)-y(t))-(exp(y(t))-t)*diff(y(t),t)=0,y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(Exp[2*t]-y[t])-(Exp[y[t]]-t)*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
Not solved