67.2.18 problem Problem 2(c)

Internal problem ID [13975]
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)
Date solved : Tuesday, January 28, 2025 at 06:10:48 AM
CAS classification : [`y=_G(x,y')`]

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

✗ 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: 0.000 (sec). Leaf size: 0

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

Not solved