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Unformatted text preview: y ( x ) = e x g ( x ). To further simplify things you may also want to deﬁne μ = λ plus (or minus) an appropriate constant. (But your ﬁnal answer has to be in terms of y ( x ) and λ ) 2 NAME: 3. [25 points] Find the general solution of this forced mechanical oscillator. What will happen to the solution as t → + ∞ ? Does this result depends on initial conditions and why? x 00 + 2 x + 7 x = 2 sin (3 t ) 3 NAME: 4. [25 points] Find the general solution of the following ODE for y ( x ): y 006 y + 8 y = 8 x 2 + 1 4...
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 Spring '08
 ttt
 Data Structures, Boundary value problem, general solution, Fouries Series expansion, forced mechanical oscillator

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