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(8 points) Solving Higher-order Homogenous DE. a. (7 pts) Find three linearly independent solutions of the third-order homogeneous DE v-3y+2y'-6y=0 b. (1 pts) Write the

(8 points) Solving Higher-order Homogenous DE. a. (7 pts) Find three linearly independent solutions of the third-order homogeneous DE v"-3y"+2y'-6y=0 b. (1 pts) Write the general solution of the above third-order homogeneous DE

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