Internal problem ID [459]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.1. Page 40
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y+2 y^{\prime }=3 t^{2}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 20
dsolve(y(t)+2*diff(y(t),t) = 3*t^2,y(t), singsol=all)
\[ y \left (t \right ) = 3 t^{2}-12 t +24+{\mathrm e}^{-\frac {t}{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 25
DSolve[y[t]+2*y'[t] == 3*t^2,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 3 t^2-12 t+c_1 e^{-t/2}+24 \]