1. In solving the beam equation, you determined that the general solution is 1 1 y 12 +x. Given that_y''(1) = 3 determine 91 91x³ 2. The particular solution xp for x² + 2x² = 4e¯³t is xp = 9₂e-³t 3. In calculating the Laplace transform L{(t+2) H(t-5)} using the formula L{f(t-a)H(t-a)} = e-asL{f(t)} on the Laplace sheet you calculated that the f(t) referred to in this formula is f(t) = **t +93 4. The Laplace transform 5 +4s +6 can be expressed as L{e [qssin(961) +97cos (** t)]} 5. The state-space representation for 2x" + 4x' + 5x = 10e¹ is 0 0 = [9 + [x₂ 98 99
