Internal problem ID [3131]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 14
Problem number: 384.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Riccati]
Solve \begin {gather*} \boxed {y^{\prime } x^{n}+x^{2 n -2}+y^{2}+\left (1-n \right ) x^{n -1}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 1097
dsolve(x^n*diff(y(x),x)+x^(2*n-2)+y(x)^2+(1-n)*x^(n-1) = 0,y(x), singsol=all)
\[ \text {Expression too large to display} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x^n y'[x]+x^(2 n-2)+y[x]^2+(1-n)x^(n-1)==0,y[x],x,IncludeSingularSolutions -> True]
Not solved