Consider the differential equation
(dy(t))(dt) + 12y(t) = 15 x(t)
y(0) = 0 and x(t) = 10 t >= 0 find y(t)
1. The homogeneous solution is given by y(t) = Ae, t >= 0 Determine the roots of the of the characteristic equation
2. Determine the particular solution y (r).
3. Provide an expression y(r) for t >= 0