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Unformatted text preview: Classwork TwentySeven: NAME: Find the singular points, determine the regularity and give indicial equations for the regular points: x 2 ( x 1) y 00 + ( x 2) y + (2 cos x ) y = 0 Classwork TwentySix: NAME: Find the first 4 nonzero terms of a power series solution to y 00 = ( sin x ) y ; y (0) = 6; y (0) = 12 Classwork TwentyFive: NAME: Use power series to find a solution to xy = ( x + 1) y . Find the first four nonzero terms, find a recurrence relation. Then try to find the general terms of the power series and a closed form for the solution, from the power series. HINT: a = 0. Classwork TwentyFour: NAME: Find the Taylor polynomial P 4 for a solution to the differential equation y 00 = y + e x y ; y (0) = 1; y (0) = 2 . Classwork TwentyThree: NAME: Find the transform Y ( s ) and the solution y ( t ) to the differential equation y 00 + 2 y + 5 y = g ( t ); y (0) = 0; y (0) = 2 Express Y ( s ) in terms of G ( s ) and use convolution to express y ( t ) in terms of g ( t )–write out the integral. Classwork TwentyTwo: NAME: Use convolution to find the inverse Laplace transform f ( t ) of F ( s ) = s ( s 2 +4) 2 . Classwork TwentyOne: NAME: Solve the differential equation y 00 2 y 3 y = 2 δ ( t 1) with y (0) = 2 and y (0) = 2....
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 Spring '08
 TUNCER
 Laplace

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