Internal problem ID [14233]
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: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=t^{2}-2 t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(t),t)-y(t)=t^2-2*t,y(t), singsol=all)
\[ y \left (t \right ) = -t^{2}+{\mathrm e}^{t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.088 (sec). Leaf size: 17
DSolve[y'[t]-y[t]==t^2-2*t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -t^2+c_1 e^t \]