## Question

###### 2 (a) Consider the third order linear homogeneous differential equation dy dy drs + 3d22 + 3d2 +y = 0. Write down the characteristic equation for (1). Factorize the third degree poly- nomial in this equation; you may use the MAPLE command factor() here, if you like. Using the relevant material from class and explaining briefly the procedure; write down the general solution of the DE (1).

2 (a) Consider the third order linear homogeneous differential equation dy dy drs + 3d22 + 3d2 +y = 0. Write down the characteristic equation for (1). Factorize the third degree poly- nomial in this equation; you may use the MAPLE command factor() here, if you like. Using the relevant material from class and explaining briefly the procedure; write down the general solution of the DE (1).

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