14.2.4 problem 4

Internal problem ID [2492]
Book : Differential equations and their applications, 4th ed., M. Braun
Section : Chapter 1. First order differential equations. Section 1.4 separable equations. Excercises page 24
Problem number : 4
Date solved : Monday, January 27, 2025 at 05:54:17 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&={\mathrm e}^{3+t +y} \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 17

dsolve(diff(y(t),t)=exp(t+y(t)+3),y(t), singsol=all)
 

\[ y = -3-\ln \left (-{\mathrm e}^{t}-c_1 \right ) \]

✓ Solution by Mathematica

Time used: 0.898 (sec). Leaf size: 20

DSolve[D[y[t],t]==Exp[t+y[t]+3],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to -\log \left (-e^{t+3}-c_1\right ) \]