Solve the following second-order DE with initial conditions y(0) 1 and dy(t) dt j t0 4: where u(t) is the unit step function.

Solve the following second-order DE with initial conditions y(0) ¼ 1 and dy(t)

dt j

t¼0

¼ 4:

where u(t) is the unit step function.

dy(t) dt +3dy(t) dt +2y(t) = eu(t)