Determine the general solutions of the ODEs below and solve the IVP. Be sure to show details of your work.

a$).12y^{\text{'}\text{'}}-5y^{\text{'}}-2y=0,y(0)=-3,y^{\text{'}}(0)=2$

b$).y^{\text{'}\text{'}}+8y^{\text{'}}+16y=0$

c$).y^{\text{'}\text{'}}-4y^{\text{'}}+5y=0$