2.1686   ODE No. 1686

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

a2y(x)n+x4y(x)=0 Mathematica : cpu = 0.0328033 (sec), leaf count = 0 , could not solve

DSolve[a^2*y[x]^n + x^4*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 1.18 (sec), leaf count = 128

{y(x)=ODESolStruc(_ae_b(_a)d_a+_C1,[{dd_a_b(_a)=(_b(_a))2(a2_b(_a)(n1)2_an2_a(n3)_b(_a)2n+10)4},{_a=y(x)x2(n1)1,_b(_a)=21(n1)xddxy(x)2y(x)(x2(n1)1)1},{x=e(_b(_a)d_a+_C1)(n1)2,y(x)=_ae_b(_a)d_a+_C1}])}