36.1.6 problem 6

Internal problem ID [6261]
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
Date solved : Monday, January 27, 2025 at 01:50:24 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class C`]]

\begin{align*} s^{2}+s^{\prime }&=\frac {s+1}{s t} \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[s[t]^2+D[s[t],t]==(s[t]+1)/(s[t]*t),s[t],t,IncludeSingularSolutions -> True]
 

Not solved