Solution of d2y/(dt)2-dy/dt-2y=0 Or D2y - Dy -2y =0 {y(0)=3, Dy(0)=0} with constant coefficients.

Linear homogeneous second order differential equation.With constant coefficients.
General Solution of d2y/(dt)2-dy/dt-2y=0 |or| d2y\(dt)2-dy\dt-2y=0 .