Internal problem ID [14280]
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: 58.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=4+3 \,{\mathrm e}^{t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(t),t)+y(t)=4+3*exp(t),y(t), singsol=all)
\[ y \left (t \right ) = 4+\frac {3 \,{\mathrm e}^{t}}{2}+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 26
DSolve[y'[t]+y[t]==4+3*Exp[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {3 e^t}{2}+\left (\frac {8}{3}+c_1\right ) e^{-t}+4 \]