Internal problem ID [13006]
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 1.9 page 133
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {y}{t}=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(y(t),t)=-y(t)/t+2,y(t), singsol=all)
\[ y \left (t \right ) = t +\frac {c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 13
DSolve[y'[t]==-y[t]/t+2,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t+\frac {c_1}{t} \]