Find the general solution and the solution satisfying the specified initial condition of the following 2nd order linear ODE's:
(i) ? - 3? + 2x = 0 with x(0) = 2 and ?(0) = 6
(ii) y'' - 4y' + 4y = 0 with y(0) = 0 and y'(0) = 3
(iii) z'' - 4z' + 13z = 0 with z(0) = 7 and z'(0) = 42
Any help would be appreciated.
Thank you.
(i) ? - 3? + 2x = 0 with x(0) = 2 and ?(0) = 6
(ii) y'' - 4y' + 4y = 0 with y(0) = 0 and y'(0) = 3
(iii) z'' - 4z' + 13z = 0 with z(0) = 7 and z'(0) = 42
Any help would be appreciated.
Thank you.