Pregunta: 5. Solve the following differential equations by means of the Laplace Transform a) f(t) +5df(t) + 4f(t) = e-2tu(t) Condiciones iniciales iguales a cero. b) 8df(t) + 6d¹f(t) — 3³f(t) + 10 f(t) - 9df(t) +9f(t) = 8u(t) Initial Conditions: x¹V (0) = -2, x¹¹¹ (0) : = -1, x¹¹ (0) = 4, x¹ (0) = 3, x(0) = -2 c) 3x¹¹ (t) +8x¹¹ (t) + 5x¹ (t) + 3x(t) = sin(6t) con

5. Solve the following differential equations by means of the Laplace Transform
a) f(t) +5df(t) + 4f(t) = e-2tu(t) Condiciones iniciales iguales a cero.
b) 8df(t) + 6d¹f(t) — 3³f(t) + 10 f(t) - 9df(t) +9f(t) = 8u(t)
Initial Conditions: x¹V (0) = -2, x¹¹¹ (0) : = -1, x¹¹ (0) = 4, x¹ (0) = 3, x(0) =
-2
c) 3x¹¹ (t) +8x¹¹ (t) + 5x¹ (t) + 3x(t) = sin(6t) con condiciones iniciales iguales a
cero