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asked 7 years ago

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Solve a differential equation using series expansions.

Given an ODE such as y Is it possible to get sage to display the solution in the from (at least the first few terms of the expansion) y=a_o\left(c_0+c_1x+c_2x^2+\dots\right) + a_1\left(d_0+d_1x+d_2x^2+\dots\right)

my attempts:

Solve a differential equation using series expansions.

Given an ODE such as y''+x^2y'+y=0 Is it possible to get sage to display the solution in the from (at least the first few terms of the expansion) y=a_o\left(c_0+c_1x+c_2x^2+\dots\right) + a_1\left(d_0+d_1x+d_2x^2+\dots\right)

my attempts:

EDIT: I have made some progress, functional but it is not pretty. second attempt