2.1639   ODE No. 1639

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

ay(x)|y(x)|+bsin(y(x))+y(x)=0 Mathematica : cpu = 40.5905 (sec), leaf count = 0 , could not solve

DSolve[b*Sin[y[x]] + a*Abs[Derivative[1][y][x]]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 2.365 (sec), leaf count = 56

{y(x)=ODESolStruc(_a,[{(dd_a_b(_a))_b(_a)+a_b(_a)|_b(_a)|+bsin(_a)=0},{_a=y(x),_b(_a)=ddxy(x)},{x=(_b(_a))1d_a+_C1,y(x)=_a}])}