Internal problem ID [14272]
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: 50.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=2-{\mathrm e}^{2 t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(t),t)+y(t)=2-exp(2*t),y(t), singsol=all)
\[ y \left (t \right ) = 2-\frac {{\mathrm e}^{2 t}}{3}+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.063 (sec). Leaf size: 24
DSolve[y'[t]+y[t]==2-Exp[2*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {e^{2 t}}{3}+c_1 e^{-t}+2 \]