Question: Consider the second-order ordinary differential equation 15 dt dt - y = 0 . If we set uj (t) = y(t) and u2 (t) =

Consider the second-order ordinary differential equation 15 dt dt - y = 0 . If we set uj (t) = y(t) and u2 (t) = dy dt then we get the system of first-order equations du1 dt = au] + buz duz = cu] + duz dt where a = Number 6 Number C Number and d = Number Using the same technique as in the last question we can construct the general solution u1 (t ) 5 ( 22 ( t ) a 1 e-t / 5 + B ("et / 3 giving us y ( t ) = a

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