Internal problem ID [14274]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 52.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+3 y=27 t^{2}+9} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t)+3*y(t)=27*t^2+9,y(t), singsol=all)
\[ y \left (t \right ) = 9 t^{2}-6 t +5+c_{1} {\mathrm e}^{-3 t} \]
✓ Solution by Mathematica
Time used: 0.072 (sec). Leaf size: 23
DSolve[y'[t]+3*y[t]==27*t^2+9,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 9 t^2-6 t+c_1 e^{-3 t}+5 \]