60.7.152 problem 1743 (book 6.152)

Internal problem ID [11741]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1743 (book 6.152)
Date solved : Monday, January 27, 2025 at 11:32:17 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} 2 y^{\prime \prime } y-3 {y^{\prime }}^{2}+y^{2} f \left (x \right )&=0 \end{align*}

✗ Solution by Maple

dsolve(2*diff(diff(y(x),x),x)*y(x)-3*diff(y(x),x)^2+y(x)^2*f(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[f[x]*y[x]^2 - 3*D[y[x],x]^2 + 2*y[x]*D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved