2.1754   ODE No. 1754

ny(x)y(x)+(1n)y(x)2=0

Mathematica : cpu = 0.131309 (sec), leaf count = 17

DSolve[(1 - n)*Derivative[1][y][x]^2 + n*y[x]*Derivative[2][y][x] == 0,y[x],x]
 
{{y(x)c2(xc1n)n}}

Maple : cpu = 0.054 (sec), leaf count = 15

dsolve(n*y(x)*diff(diff(y(x),x),x)-(n-1)*diff(y(x),x)^2=0,y(x))
 
y(x)=(xc1+c2n)n