Find the general solution to the homogeneous differential equation dy + 12 +36y = 0 dt The solution can be written in the form d²y dt² with f₁(t) = e^(6t)cos(10t) e^6tsin(10t) y = C₁ f1 (t) + C₂ f2(t) and f₂ (t) = Left to your own devices, you will probably write down th correct answers, but in case you want to quibble, enter your answers so that the functions are normalized with ƒ₁ (0) = and f₂ (0) = 0.

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