29.33.21 problem 983

Internal problem ID [5560]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 33
Problem number : 983
Date solved : Monday, January 27, 2025 at 11:48:24 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(a^2-2 a x y[x]+y[x]^2) (D[y[x],x])^2+2 a y[x] D[y[x],x]+y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved