Find the forced response xf (t) for the diff eq below: d²x dx dt² dt + + 5x = 2t Forcing function: f(t) k k₁₂t + k k₂t²
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Find the forced response xf (t) for the diff eq below: d²x dx dt² dt + + 5x = 2t Forcing function: f(t) k k₁₂t + k k₂t²
Forcing function: f(t) k k₁₂t + k k₂t² + k₁t + k k Sin (wt + 0) ke-at Note: k, w,0 & a are known General form of forced response: xf (t) A A₁t + A₂ A₂t² + A₁t + A3 B₁ Sin(wt + 0) + B₂ Cos(wt + 0) Ce-at A, B & C are to be found