4.36.24 \(y''(x)=6 y(x)^2+x\)

ODE
\[ y''(x)=6 y(x)^2+x \] ODE Classification

[[_Painleve, `1st`]]

Book solution method
TO DO

Mathematica
cpu = 0.162205 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == x + 6*y[x]^2, y[x], x]

Maple
cpu = 0.464 (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x) = x+6*y(x)^2, y(x),'implicit')

Mathematica raw input

DSolve[y''[x] == x + 6*y[x]^2,y[x],x]

Mathematica raw output

DSolve[Derivative[2][y][x] == x + 6*y[x]^2, y[x], x]

Maple raw input

dsolve(diff(diff(y(x),x),x) = x+6*y(x)^2, y(x),'implicit')

Maple raw output

dsolve(diff(diff(y(x),x),x) = x+6*y(x)^2, y(x),'implicit')