ODE
\[ y''(x)=-2 a b x y(x)+a+2 b^2 y(x)^3 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 3.52682 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == a - 2*a*b*x*y[x] + 2*b^2*y[x]^3, y[x], x]
Maple ✗
cpu = 0.402 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x) = a-2*a*b*x*y(x)+2*b^2*y(x)^3, y(x),'implicit')
Mathematica raw input
DSolve[y''[x] == a - 2*a*b*x*y[x] + 2*b^2*y[x]^3,y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == a - 2*a*b*x*y[x] + 2*b^2*y[x]^3, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = a-2*a*b*x*y(x)+2*b^2*y(x)^3, y(x),'implicit')
Maple raw output
dsolve(diff(diff(y(x),x),x) = a-2*a*b*x*y(x)+2*b^2*y(x)^3, y(x),'implicit')