Internal problem ID [456]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y+2 y^{\prime }-3 t=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(y(t)+2*diff(y(t),t) = 3*t,y(t), singsol=all)
\[ y \relax (t ) = 3 t -6+{\mathrm e}^{-\frac {t}{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.043 (sec). Leaf size: 20
DSolve[y[t]+2*y'[t] == 3*t,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 3 t+c_1 e^{-t/2}-6 \\ \end{align*}