Internal problem ID [4409]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.2, Separable Equations. Exercises. page
46
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class C]]
Solve \begin {gather*} \boxed {s^{2}+s^{\prime }-\frac {s+1}{s t}=0} \end {gather*}
✗ Solution by Maple
dsolve(s(t)^2+diff(s(t),t)=(s(t)+1)/(s(t)*t),s(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[s[t]^2+s'[t]==(s[t]+1)/(s[t]*t),s[t],t,IncludeSingularSolutions -> True]
Not solved