Roots of the indicial equation
Verify the origin is regular singularity. Show the roots of the indicial equation do not differ by an integer. Find, by the method of Frobenius, two independent solutions of:
2xy''+(x+1)y'+3y=0
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Let a, b and n be three positive integers with gcd(a,n) = 1 and gcd(b,n) = 1. Show that gcd(ab,n) = 1
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Determine the center and the radius of each circle:
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