M427K-F10-HW1

# M427K-F10-HW1 - t increases and how their behavior depends...

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M427K , 55330, Aug 30, 2010 Homework 1 , due Sep 8 2.1.14 Find the solution of the initial value problem y + 2 y = te 2 t , y (1) = 0. 2.1.19 Find the solution of the initial value problem t 3 y + 4 t 2 y = e t , y ( - 1) = 0, t < 0. 2.4.9 State where in the ty -plane the hypotheses of Theorem 2.4.2 are satis±ed. y = ln | ty | 1 - t 2 + y 2 . 2.4.19 Draw a direction ±eld and plot (or sketch) several solutions of the given di²erential equation: y = - y (3 - ty ). Describe how solutions appear to behave as
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Unformatted text preview: t increases and how their behavior depends on the initial value y when t = 0. 2.2.2 Solve the given dierential equation: y = x 2 y (1 + x 3 ) . 2.2.13 Find the solution of the given initial value problem in explicit form. y = 2 x y + x 2 y , y (0) =-2 . 2.2.14 Find the solution of the given initial value problem in explicit form. y = xy 3 (1 + x 2 ) 1 / 2 , y (0) = 1 ....
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## This note was uploaded on 10/08/2010 for the course M 427K taught by Professor Fonken during the Fall '08 term at University of Texas at Austin.

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