\[ a y'(x) \left | y'(x)\right | +b y'(x)+c y(x)+y''(x)=0 \] ✗ Mathematica : cpu = 7.58288 (sec), leaf count = 0 , could not solve
DSolve[c*y[x] + b*Derivative[1][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 , exception
numeric exception: division by zero