1.481 problem 482

Internal problem ID [8062]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 482.
ODE order: 1.
ODE degree: 2.

CAS Maple gives this as type [_rational]

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

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: 0.0 (sec). Leaf size: 0

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

Not solved