2.18 problem Problem 2(c)

Internal problem ID [12239]

Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section: Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number: Problem 2(c).
ODE order: 1.
ODE degree: 2.

CAS Maple gives this as type [`y=_G(x,y')`]

\[ \boxed {{y^{\prime }}^{2}+y {y^{\prime }}^{2} x=\ln \left (x \right )} \]

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y'[x]^2+y[x]*y'[x]^2*x==Log[x],y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved