Unformatted text preview: Prove that the polygonal region R depicted below is a trapping region. 3. Find the ﬁrst three terms of two linearly independent solutions of 2 x ( x1) y 00 + 3( x1) yy = 0 , x > . 4. Consider Laguerre’s equation: xy 00 + (1x ) y + ny = 0 , where n is a nonnegative integer. Show that for every n , this equation has a polynomial solution L n ( x ) and determine L , L 1 , L 2 and L 3 (This is problem 24 from section 8.7 in our text). 5. Do problem 22 of section 8.7 in our text. * MAP 4305; Instructor: Patrick De Leenheer. R − 3 3 y x − 6 6 − 3 3 1...
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 Summer '06
 DeLeenheer
 Derivative, van der Pol, der Pol oscillator

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