Geometric triviality of the strongly minimal second Painlevé equations

We show that for α∉1/2+Z, the second Painlevé equation PII(α):y″=2y3+ty+α is geometrically trivial, that is we show that if y1,...,yn are distinct solutions such that y1,y1′,y2,y2′,…,yn,yn′ are algebraically dependent over C(t), then already for some 1≤i