Internal problem ID [14206]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 48.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-{\mathrm e}^{t -y}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 5
dsolve([diff(y(t),t)=exp(t-y(t)),y(0) = 0],y(t), singsol=all)
\[ y \left (t \right ) = t \]
✓ Solution by Mathematica
Time used: 0.729 (sec). Leaf size: 9
DSolve[{y'[t]==Exp[t-y[t]],{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \log \left (e^t\right ) \]