After setting out in the sums and collecting the terms in [tex]x^j[/tex] I'm left with a series of expressions in(adsbygoogle = window.adsbygoogle || []).push({});

[tex]a_2, a_3[/tex] etc as I believe i'm supposed to. However my first expression reads

[tex]2a_{2}+2a_{1}+a_-_{1}=0[/tex]

Now i'm told that

[tex]y(o) = 1[/tex] and

[tex]y'(o) = 0[/tex]

I think this means that

[tex]a_0 = 1[/tex]

and

[tex]a_1 = 0[/tex]

does this mean that

[tex]a_-_1 = x[/tex]?

(My other expressions are

[tex]6a_3+6a_2+a_0=0[/tex]

and

[tex]24a_4+12a_3+a_1=0[/tex])

i'm always left with an

[tex]a_-_1[/tex]

when finding the other

[tex]a_{j}[/tex]'s

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# 2nd Order DE - Power series

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