\[ \sqrt {a y''(x)^2+b y'(x)^2}+c y(x) y''(x)+d y'(x)^2=0 \] ✗ Mathematica : cpu = 8.27662 (sec), leaf count = 0
DSolve[d*Derivative[1][y][x]^2 + c*y[x]*Derivative[2][y][x] + Sqrt[b*Derivative[1][y][x]^2 + a*Derivative[2][y][x]^2] == 0,y[x],x]
, could not solve
DSolve[d*Derivative[1][y][x]^2 + c*y[x]*Derivative[2][y][x] + Sqrt[b*Derivative[1][y][x]^2 + a*Derivative[2][y][x]^2] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve((a*diff(diff(y(x),x),x)^2+b*diff(y(x),x)^2)^(1/2)+c*y(x)*diff(diff(y(x),x),x)+d*diff(y(x),x)^2=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = c_{1}\]