2.878   ODE No. 878

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

y(x)=64a3x3+48a2x2y(x)2+16a2x212axy(x)48axy(x)2+y(x)6+y(x)4+1y(x) Mathematica : cpu = 0.300102 (sec), leaf count = 1

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Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x) = (1+y(x)^4-8*a*x*y(x)^2+16*a^2*x^2+y(x)^6-12*y(x)^4*a*x+48*y(x)^2*a^2*x^2-64*a^3*x^3)/y(x),y(x))