2.1605   ODE No. 1605

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

aexy(x)+y(x)=0 Mathematica : cpu = 0.513804 (sec), leaf count = 0 , could not solve

DSolve[a*E^x*Sqrt[y[x]] + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 1.617 (sec), leaf count = 104

{y(x)=ODESolStruc(_ae2_b(_a)d_a2_C1,[{dd_a_b(_a)=(_b(_a))2(_b(_a)_aa+4_b(_a)_a+4)},{_a=y(x)e2x,_b(_a)=1e2x(ddxy(x)2y(x))},{x=_b(_a)d_a+_C1,y(x)=_ae2_b(_a)d_a2_C1}])}