Internal problem ID [448]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {3 y+y^{\prime }={\mathrm e}^{-2 t}+t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(3*y(t)+diff(y(t),t) = exp(-2*t)+t,y(t), singsol=all)
\[ y \left (t \right ) = \frac {t}{3}-\frac {1}{9}+{\mathrm e}^{-2 t}+c_{1} {\mathrm e}^{-3 t} \]
✓ Solution by Mathematica
Time used: 0.086 (sec). Leaf size: 27
DSolve[3*y[t]+y'[t] == Exp[-2*t]+t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t}{3}+e^{-2 t}+c_1 e^{-3 t}-\frac {1}{9} \]