Internal problem ID [12585]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.3 page 47
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=t +1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(t),t)=y(t)+t+1,y(t), singsol=all)
\[ y \left (t \right ) = -t -2+c_{1} {\mathrm e}^{t} \]
✓ Solution by Mathematica
Time used: 0.1 (sec). Leaf size: 16
DSolve[y'[t]==y[t]+t+1,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -t+c_1 e^t-2 \]