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12. Solve the following recurrence equations using the characteristic equation. (a) tnt0t1=4tn13tn2forn>1=0=1 (b) tnt0t1=3tn12tn2+n2forn>1=0=1 (c) tnt0t1=5tn16tn2+5nforn>1=0=1 (d) tnt0t1=5tn16tn2+n25n+7nforn>1=0=1

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