60.1.479 problem 482

Internal problem ID [10493]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 482
Date solved : Monday, January 27, 2025 at 08:15:10 PM
CAS classification : [_rational]

\begin{align*} x y {y^{\prime }}^{2}+\left (x^{22}-y^{2}+a \right ) y^{\prime }-y x&=0 \end{align*}

✗ Solution by Maple

dsolve(x*y(x)*diff(y(x),x)^2+(x^22-y(x)^2+a)*diff(y(x),x)-x*y(x) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[-(x*y[x]) + (a + x^22 - y[x]^2)*D[y[x],x] + x*y[x]*D[y[x],x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved