3. Obtain y(t) by partial fraction for a given transfer function. a. y(s)=s2+2s+5s+1 b. y(s)=(S1)31 4. Solve the following differential equations by Laplace transforms. a. dt2d2x+dtdx+x=1x(0)=x(0)=0 b. dt2d2q+dtdq=t2+2tq(0)=4q(0)=2