Unformatted text preview: 2. For each of the following Euler equations, ﬁnd the general solution valid except at the regular singular point. a) (10 pts) x 2 y 00xy + y = 0 b) (10 pts) ( x1) 2 y 00 + 8( x1) y + 12 y = 0 3. For each of the following linear diﬀerential equations, use the method of Frobenius to ﬁnd two linearly independent solutions expanded about the regular singular point at x = 0. a) (40 pts) xy 00 + yy = 0 b) (40 pts) x 2 y 00 + xy + ± x 21 4 ² y = 0 Total points: 134...
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This note was uploaded on 11/23/2009 for the course ACM 95b taught by Professor Nilesa.pierce during the Winter '09 term at Caltech.
 Winter '09
 NilesA.Pierce

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