ODE No. 1639

\[ a y'(x) \left | y'(x)\right | +b \sin (y(x))+y''(x)=0 \] Mathematica : cpu = 38.7453 (sec), leaf count = 0

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

, 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 = 0. (sec), leaf count = 0

dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)*abs(diff(y(x),x))+b*sin(y(x))=0,y(x))
 

, exception

numeric exception: division by zero