Problem (3): Solve the following ODEs using Laplace transforms: Verify the answer using $\operatorname{MATLAB}\left( ight. $ dsolve $\left. \left( \mathrm{d} 2 \mathrm{y}-2^{*} \mathrm{Dy]+49[*} \mathrm{y}=0^{\prime),^\prime} \mathrm{y} (=1^{\prime), "[\prime} \mathrm{Dy} @=2^{\prime), \mathrm{t}^{\prime} ight) ight) a) $\ddoty}{t -2 \dot{y}(t)+4 yt)=0 ; y 8 =i, dot{y}(8)=25 b) $\quad \ddot{y}(t)+3 y(t)=\sin t ; y=1, \dot{y}()=2$ SP.SD.338