ODE
\[ y(x) y''(x)=a y(x) y'(x)+b y(x)^2+y'(x)^2+y(x)^3 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✗
cpu = 43.3878 (sec), leaf count = 0 , could not solve
DSolve[y[x]*Derivative[2][y][x] == b*y[x]^2 + y[x]^3 + a*y[x]*Derivative[1][y][x] + Derivative[1][y][x]^2, y[x], x]
Maple ✗
cpu = 3.949 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y[x]*y''[x] == b*y[x]^2 + y[x]^3 + a*y[x]*y'[x] + y'[x]^2,y[x],x]
Mathematica raw output
DSolve[y[x]*Derivative[2][y][x] == b*y[x]^2 + y[x]^3 + a*y[x]*Derivative[1][y][x] + Derivative[1][y][x]^2, y[x], x]
Maple raw input
dsolve(y(x)*diff(diff(y(x),x),x) = diff(y(x),x)^2+a*y(x)*diff(y(x),x)+b*y(x)^2+y(x)^3, y(x))
Maple raw output
[]