Internal problem ID [452]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {-2 y+y^{\prime }=3 \,{\mathrm e}^{t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(-2*y(t)+diff(y(t),t) = 3*exp(t),y(t), singsol=all)
\[ y \left (t \right ) = -3 \,{\mathrm e}^{t}+c_{1} {\mathrm e}^{2 t} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 17
DSolve[-2*y[t]+y'[t] == 3*Exp[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^t \left (-3+c_1 e^t\right ) \]