hw2 - y 00-2 y-3 y =-3 te-t . 4. (4.3.1) Determine the...

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ODE, Homework 1 Due June 2, 2008 1. (3.3.3) Determine whether the pair of functions f ( t ) = e λt cos μt , g ( t ) = e λt sin μt is linearly independent or linearly dependent. 2. (4.2.23) Find the general solution of the differential equation y 000 - 5 y 00 + 3 y 0 + y = 0. 3. (3.6.3) Find the general solution of the given differential equation
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Unformatted text preview: y 00-2 y-3 y =-3 te-t . 4. (4.3.1) Determine the general solution of the dierential equation y 000-y 00-y + y = 2 e-t +3. 5. (3.7.8) Find the general solution of the dierential equation y 00 +4 y = 3 csc 2 t , 0 < t < / 2. 1...
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