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Unformatted text preview: The general solution (25 Marks)Find the general solution of the following equation. Solution (1) Find the general solution of y ''+6 y '+9 y =0. The auxiliary equation is . Solving the equation, we have r =3. The general solution (2) [Note that and are particular solutions of y ''+6 y +9 y =0] Let . Then This implies 2 C =1 and C =1/2. Hence, (3) The required general solution is (25 Marks)Let and . Prove that Solution Taking the partial derivatives of , we obtain This implies and . Since and we obtain • About this document . .. Kunquan Lan Mon Mar 27 10:04:47 EST 2000...
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 Fall '09
 ganong
 Math, Derivative, Partial differential equation, general solution

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