2.1697   ODE No. 1697

a+y(x)y(x)+y(x)2=0

Mathematica : cpu = 0.199334 (sec), leaf count = 94

DSolve[-a + Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0,y[x],x]
 
{{y(x)a2x2+2a2c2x+a2c22e2c1a},{y(x)a2x2+2a2c2x+a2c22e2c1a}}

Maple : cpu = 0.045 (sec), leaf count = 39

dsolve(diff(diff(y(x),x),x)*y(x)+diff(y(x),x)^2-a=0,y(x))
 
y(x)=ax22xc1+2c2