(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

x^{2 }d^{2}y/dx^{2 }+ 3x dy/dx + 5y = g(x)

2. Relevant equations

How do we find Characteristic equation for it.

3. The attempt at a solution

x^{2}λ^{2}+ 3xλ + 5 = 0

λ_{1}= 1/2 [-x^{2}+ √ (x^{4}+ 20 ) ]

λ_{2}= 1/2[ -x^{2}- √(x^{4}+ 20) ]

I used 1/3 -/+ a √(a^{2}+ 4b)

where

a = x^{2}

b = 5

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# Homework Help: Characteristic equation with x^2 coefficient

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