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Question: How to solve non-linear ODE power series

Question:How to solve non-linear ODE power series

pglass2015 10
ode dsolve nonlinear series plotting
November 24 2013
1

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.
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