\[ a y'(x) \left | y'(x)\right | +b y'(x)+c y(x)+y''(x)=0 \] ✗ Mathematica : cpu = 6.41161 (sec), leaf count = 0
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]
, 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
dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)*abs(diff(y(x),x))+b*diff(y(x),x)+c*y(x)=0,y(x))
, exception
numeric exception: division by zero