$2-6.$ Obtain the solution $Y(t),$ as a deviation from its ini$-$

tial steady$-$state condition $y(0),$ of the following differential

equations. Use the method of Laplace transforms and par$-$

tial fractions expansion. The forcing function is the unit step

function, $x(t)=u(t).$

$($a$)\frac{dy(t)}{dt}+2y(t)=5x(t)+3$