Internal problem ID [12739]
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. Review Exercises for chapter 1. page
136
Problem number: 46.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {2 y+1}{t}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
dsolve(diff(y(t),t)=(2*y(t)+1)/t,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {1}{2}+c_{1} t^{2} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 22
DSolve[y'[t]==(2*y[t]+1)/t,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {1}{2}+c_1 t^2 y(t)\to -\frac {1}{2} \end{align*}