29.14.4 problem 384

Internal problem ID [4983]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 14
Problem number : 384
Date solved : Monday, January 27, 2025 at 10:01:00 AM
CAS classification : [_Riccati]

\begin{align*} x^{n} y^{\prime }+x^{2 n -2}+y^{2}+\left (1-n \right ) x^{n -1}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 1226

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: 0.000 (sec). Leaf size: 0

DSolve[x^n*D[y[x],x]+x^(2*n-2)+y[x]^2+(1-n)*x^(n-1)==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved