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(Solved): 5. Find a recurrence relation for the coefficients of the power series solution to the following O ...


5. Find a recurrence relation for the coefficients of the power series solution to the following ODE: \[ \left(x^{2}+2\right)

5. Find a recurrence relation for the coefficients of the power series solution to the following ODE: \[ \left(x^{2}+2\right) y^{\prime \prime}+2 x y^{\prime}+3 y=0 . \]


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(x2+2)y?+2xy?+3y=0y=akxm+ky?=ak(m+k)xm+k?1y?=ak(m+k)(m+k?1)xm+k?2ak(m+k)(m
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