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11'0 blems 1. Verify that the functions .1310) 2 at and 3:2(t) = t+ 1 are solutions of the second order homogenuous linear ODE tax

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1"1'0 blems 1. Verify that the functions .1310) 2 at and 3:2(t) = t+ 1 are solutions of the second order homogenuous linear ODE tax\" 7 (t + 1)$'t + a? = 0. Then calculate and simplify the Wronskian of :31 and 9:2. 2. Use the method of variation of parameters, as presented in the lecture, to calculate a general solution of the ODE y\" + 3y' + 23; : 20a". 3. Use the method of variation of parameters, as presented in the lecture, to calculate a general solution of the ODE y\" + 36y : 24 sec(6t)_

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