# worksheet4pt1

## Mathematics 267 with Willson at Iowa State University *

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Samuel Y.

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#### Related Textbooks:

Elementary Differential Equations and Boundary Value Problems , 8th Edition...
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Group: Worksheet 4 pt.1 (x3.1) 1. Find the general solution. (a) (#2 pg 142) y00 + 3y0 + 2y = 0 (b) (#3 pg 142) 6y00 y0 y = 0 (c) (#5 pg 142) y00 + 5y0 = 0 (d) (#7 pg 142) y00 9y0 + 9y = 0 2. Find the solution of the initial value problem. Sketch the graph of the solution. (a) (#10 pg 142) y00 + 4y0 + 3y = 0; y(0) = 2; y0(0) = 1 (b) (#11 pg 142) 6y00 5y0 +y = 0; y(0) = 4; y0(0) = 0 (c) (#12 pg 142) y00 + 3y0 = 0; y(0) = 2; y0(0) = 3 3. (#18 pg 142) Find a di erential equation whose general solution isy = c1e t=2+ c2e 2t. 4. (#22 pg 142) Solve the initial value problem 4y00 y0 = 0; y(0) = 2; y0(0) = . Then nd so that the solution approaches zero as t!1.

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