ODE
\[ y''(x)=a+2 y(x)^3+x y(x) \] ODE Classification
[[_Painleve, `2nd`]]
Book solution method
TO DO
Mathematica ✗
cpu = 20.6629 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == a + x*y[x] + 2*y[x]^3, y[x], x]
Maple ✗
cpu = 0.517 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x) = a+x*y(x)+2*y(x)^3, y(x))
Mathematica raw input
DSolve[y''[x] == a + x*y[x] + 2*y[x]^3,y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == a + x*y[x] + 2*y[x]^3, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = a+x*y(x)+2*y(x)^3, y(x))
Maple raw output
dsolve(diff(diff(y(x),x),x) = a+x*y(x)+2*y(x)^3, y(x))