Internal problem ID [961]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {x^{2}+y^{2}}{\ln \left (y x \right )}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==(x^2+y[x]^2)/Log[x*y[x]],y[x],x,IncludeSingularSolutions -> True]
Not solved