76.3.9 problem 9

Internal problem ID [17380]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 2. First order differential equations. Section 2.4 (Differences between linear and nonlinear equations). Problems at page 79
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 10:03:49 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=\frac {\ln \left (t y\right )}{1-t^{2}+y^{2}} \end{align*}

✗ Solution by Maple

dsolve(diff(y(t),t)=ln(t*y(t))/(1-t^2+y(t)^2),y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved