Question: solving a differential equation

i am supposed to solve this differential equation: y(prime) = 2(1+t)*y^3 where y(o) = 2^(-1/2) this is what ive done so far: > with(PDEtools, declare): with(DEtools): > declare(y(t)=t, prime=t): > diff(y(t),t)= 2(1+t)*(y^(3)); y(0)=2^(-1/2); the problem is that the (1+t) part always drops. what am i doing wrong?
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