Unformatted text preview: x . 5. Find a fundamental set of solutions to each of the following: a. 108 63 31 9 ) 3 ( ) 4 ( ) 5 ( = ′ + ′ ′ + + + y y y y y . b. dx d D y D D D D D = = + − + + , ) 2 3 ( ) 20 4 ( 2 2 2 2 . 6. Consider a homogeneous linear differential equation with constant coefficients, having x xe x 2 3 + and ) 3 sin( 3 2 x x as its solutions. a. Find a fundamental set of solutions of the differential equation of minimum order. b. Write down the characteristic equation of the differential equation. c. Construct the differential equation....
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 Spring '07
 King
 Differential Equations, Equations, ax, fundamental set, Willis Thai

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