4.36.31 \(y''(x)=\text {a0}+\text {a1} x y(x)+\text {a2} y(x)+\text {a3} y(x)^3\)

ODE
\[ y''(x)=\text {a0}+\text {a1} x y(x)+\text {a2} y(x)+\text {a3} y(x)^3 \] ODE Classification

[NONE]

Book solution method
TO DO

Mathematica
cpu = 3.08908 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == a0 + a2*y[x] + a1*x*y[x] + a3*y[x]^3, y[x], x]

Maple
cpu = 0.406 (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x) = a0+a1*x*y(x)+a2*y(x)+a3*y(x)^3, y(x),'implicit')

Mathematica raw input

DSolve[y''[x] == a0 + a2*y[x] + a1*x*y[x] + a3*y[x]^3,y[x],x]

Mathematica raw output

DSolve[Derivative[2][y][x] == a0 + a2*y[x] + a1*x*y[x] + a3*y[x]^3, y[x], x]

Maple raw input

dsolve(diff(diff(y(x),x),x) = a0+a1*x*y(x)+a2*y(x)+a3*y(x)^3, y(x),'implicit')

Maple raw output

dsolve(diff(diff(y(x),x),x) = a0+a1*x*y(x)+a2*y(x)+a3*y(x)^3, y(x),'implicit')