Internal problem ID [14271]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 49.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y={\mathrm e}^{-t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)+y(t)=exp(-t),y(t), singsol=all)
\[ y \left (t \right ) = \left (t +c_{1} \right ) {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 15
DSolve[y'[t]+y[t]==Exp[-t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t} (t+c_1) \]