Internal problem ID [1671]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.4. Page 24
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{3+t +y}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(t),t) = exp(3+t+y(t)),y(t), singsol=all)
\[ y \relax (t ) = -3-\ln \left (-{\mathrm e}^{t}-c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.884 (sec). Leaf size: 20
DSolve[y'[t] == Exp[3+t+y[t]],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\log \left (-e^{t+3}-c_1\right ) \\ \end{align*}