Write the function f(t)= a) f(t)=u₁₂ (t)(e(+2)-1) 1, 0≤t<2 in terms of unit step function. t≥2 b) ƒ (t)=u₂(t)(e²² −1) c) f(t)=1+u₂ (†)(e) −1) d) f(t)=u₂(t)e(-2) The behavior of the solution as too for the system x' = a) approaches 0 b) approaches 1 c) approaches infinity d) None of the above The general solution of the initial value problem x' = cost-3 sin t a) x(t)= cost-sint cost+sint b) x(t)= c) x(t)=e cost-sint) cost+sin t cost-sint) (cost-3 sint d) x(t)=e cost- sint If x c 1-1+ +C₂ 3 -2 -2t x' = x+ -1, a) x(t)= -2 1 1 1 b) x(t)= x = ( 7) XL is x(0) = is is the complementary solution of the nonhomogeneous system then the particular solution of the system is 1)=(2) +++ (7)-(3/2) c) x(t)= (t)= 10 1 • 80-()+(7)