Solve each of the first-order differential equations given below for the specified input signal and subject to the specified initial condition.
a. dy(t)/dt+4y(t) = x(t) x(t) = u(t), y(0) = -l
b. dy(t)/dt + 2y(t) = 2x(t), x(t) = u(t)-u(t-5), y(0) = 2
c. dy(t)/dt + 5y(t) = 3x(t). x(t) = delta(t)(0) = 0.5
d. dy(t)/dt + 5y(t) = 3x(t), x(t) = t u(t), y(0) = -4
e. du(t)/dt + y(t) = 2x(t), x(t) = e⁻²ᵗ u(t), y(0) = -l