Question: 1. (18 pts) Find the suitable form for the general solution y(t) if the method of undermined coefficients is to be used. YOU DON'T

1. (18 pts) Find the suitable form for the general solution y(t) if the method of undermined coefficients is to be used. YOU DON'T

1. (18 pts) Find the suitable form for the general solution y(t) if the method of undermined coefficients is to be used. YOU DON'T NEED TO FIND THE COEFFICIENTS. (a) y"+2y=3t2 + 4te-2t, (b) y" + 2y +5y=7e- sin 2t+ 3te cos 2t. 2. Determine the constant. (a) (4 pts) Find the value of k given that the period is 57 for the motion described by 25y"+ky = 0. (b) (4 pts) Find the value of 7 for the critically damped motion described by 4y"+y+9y=0. (c) (4 pts) Find the value of w such that the solution to the following equation exhibits resonance 3u"+75u8 cos wt.

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