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Unformatted text preview: After the rst year, the population is 27. After a many years, the population seems to be converging to 10,000. Find the dierential equation that P ( t ) satises. 6. Find the general solution of the second order equation 2 y 00 + 10 y + 13 y = 0 . Then nd the solution satisfying y (0) = 10, y (0) = 0. 7. Find the MacLaurin Series of the function f ( x ) = sin( x 2 ) and the radius of convergence of that series. 8. Expand f ( x ) = x 2 (1+ x ) 3 as a MacLaurin Series. Use the expansion to help you determine the value of the innite sum X n =2 (2 n1) 2 3 n . 1...
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This note was uploaded on 09/26/2008 for the course MAT 127 taught by Professor Guanyushi during the Fall '07 term at SUNY Stony Brook.
 Fall '07
 GuanYuShi
 Math, Calculus

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