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 = 21.0025 (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 = 0.745 (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))
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))
Maple raw output
dsolve(diff(diff(y(x),x),x) = a0+a1*x*y(x)+a2*y(x)+a3*y(x)^3, y(x))