I need help finding the 10th order power series and graphing it. The initial problem is x²y''+xy'+x²y=0 with initial conditions y(0)=0 and y'(0)=0. Whenever I try using dsolve({eqn, y(0) = 0, (D(y))(0) = 0}, y(x), type=series) where eqn= the initial problem, it doesn't give an output, not even an error message. And help or ideas at all would be greatly appreciated.

So i have to plot 3 ODEs. How would I go about plotting dx/dt=10(y-x) AND dy/dt=x(28-x)-y AND dz/dt= xy-8z/3. Any help at all would be appreciated.