So I've gotten into the Method of Frobenius and all; Solved a few questions, however the most inconvenient part would be the formulation of the general equations for the final answer.(adsbygoogle = window.adsbygoogle || []).push({});

Granted, the lecturer told us to not spend so much time on that segment due to its minimal weightage, but I prefer to know.

So, here's one which I am on and about right now;

C_(k+1) = -2Ck/(k+1)(2k-1)

k=0; C1= -2Co/(1)(-1)

k=1; C2= -2C1/(2)(1)

k=2; C3= -2C2/(3)(3)

k=3; C4= -2C3/(4)(5)

Their equivalant in terms of Co being

-2Co/(1)(-1)

(-2)^2 Co/(1)(-1)(2)(1)

(-2)^3 Co/(1)(-1)(2)(1)(3)(3)

(-2)^3 Co/(1)(-1)(2)(1)(3)(3)(4)(5)

respectively.

What I have tried doing was

y= Co [Summation of](-2)^(n+1)/(n+1)!(<missing link>)

I cannot complete it because I don't know any function that allows me to pile up previous values, so that the current will be multiplied by the previous.

However, I am pretty sure that this isn't the correct method, so any help given will be very appriciated.

Also, I would love to hear advice on what to look for when creating the general equation.

Thank you.

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# Formation of the General Equation for a Power Series

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