Internal problem ID [13028]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.9 page 133
Problem number: 23.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+2 y=3 \,{\mathrm e}^{-2 t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(t),t)+2*y(t)=3*exp(-2*t),y(t), singsol=all)
\[ y \left (t \right ) = \left (c_{1} +3 t \right ) {\mathrm e}^{-2 t} \]
✓ Solution by Mathematica
Time used: 0.084 (sec). Leaf size: 17
DSolve[y'[t]+2*y[t]==3*Exp[-2*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-2 t} (3 t+c_1) \]