67.2.18 problem Problem 2(c)

Internal problem ID [13904]
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 : Monday, March 31, 2025 at 08:17:35 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Maple

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

\[ \text {No solution found} \]

✗ Mathematica

ode=D[y[x],x]^2+y[x]*D[y[x],x]^2*x==Log[x]; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

Not solved

✗ Sympy

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(x*y(x)*Derivative(y(x), x)**2 - log(x) + Derivative(y(x), x)**2,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out