12.4.4 problem 4

Internal problem ID [1611]
Book : Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section : Chapter 2, First order equations. Existence and Uniqueness of Solutions of Nonlinear Equations. Section 2.3 Page 60
Problem number : 4
Date solved : Monday, January 27, 2025 at 05:13:54 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

dsolve(diff(y(x),x)=(x^2+y(x)^2)/ln(x*y(x)),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved