ODE
\[ y''(x)=6 y(x)^2+x \] ODE Classification
[[_Painleve, `1st`]]
Book solution method
TO DO
Mathematica ✗
cpu = 20.2713 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == x + 6*y[x]^2, y[x], x]
Maple ✗
cpu = 0.447 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x) = x+6*y(x)^2, y(x))
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))
Maple raw output
dsolve(diff(diff(y(x),x),x) = x+6*y(x)^2, y(x))