sfpn=StreamPlot[{1,CubeRoot[y]},{x,-4,4},{y,-4,4},Axes-> Automatic,VectorStyle->Arrowheads[0.01]]

gensoln=DSolve[y'[x]==(y[x])^(1/3),y[x],x]

f[x_]=Simplify[gensoln[[1,1,2]]]

f[ -C[1]]

f'[-C[1]]

Simplify[D[-f[x],x]-CubeRoot[-f[x]]]

LHS=Integrate[y^(-1/3),y]

RHS=Integrate[1,x]+C

LHS-RHS

Solve[LHS-RHS==0,y]

partsoln1=DSolve[{y'[x]==((y[x]))^(1/3), y[1]==0},y[x],x];

h1[x_]=Simplify[partsoln1[[1,1,2]]]

h1[1]

h1'[1]

grh=Plot[{h1[x],-h1[x],0},{x,1,3}]