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Unformatted text preview: C(s) 3) Solve the following differential equations, where u ( t ) is the unit step function. a) x + 2 x + x = 10 tu ( t ); x (0) = 1 , x (0) = 0 b) x + 2 x = (5 + 2 t ) u ( t ); x (0) = x (0) = 1 c) d 3 x dt 3 + 3 x + 3 x + x = 3 t 2 et u ( t ); x (0) = x (0) = 0 , x (0) = 2 d) x ( t ) + 3 x ( t ) + 2 x ( t ) = (2 et + 3 te2 t ) u ( t ) , x (0 + ) = 1 , x (0 + ) = 1...
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This note was uploaded on 02/04/2012 for the course ECE 382 taught by Professor Staff during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 Staff

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