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Need some help with SERIES SOLUTION - 2nd ORDER EQUATION For the differential equation,          (1) a. Calculate the indicial equation for the power series solution (Answer in a quadratic polynomial...

Need some help with SERIES SOLUTION - 2nd ORDER EQUATION

For the differential equation,

(x-4)y^{n}-6x^{2}y'+10y=0         (1)

a. Calculate the indicial equation for the power series solution (Answer in a quadratic polynomial in terms of c.)

y-Σ@m(z _ 4)nte

b. Calculate the solutions of the indicial equation found above.

c. Calculate the point x=-4 from the above equation (1) as

i. ORDINARY POINT

ii. REGULAR SINGULAR POINT

iii. IRREGULAR SINGULAR POINT


y-Σ@m(z _ 4)nte
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Answer #1

6χ2 ry Po_-96 and 9090smce fo

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