I want to find the values of the real constants a, b, and c for which x(t) = ae^(bt) +ct is a solution to the ODE d^2/dt^2 = 16e^(4t) / xThis is what i have done so far
i differentiated x to get abe^(bt) + c
then i differentialiated that again to get (ab^2)*e^(bt)
then i substituted x and x" into the ODE given to get
(ab^2)*e^(bt) = 16e^(4t) / ae^(bt) +ct
this is where i got stuck..am i on the right path..from this part i need to find a b and c..any help thankz
i differentiated x to get abe^(bt) + c
then i differentialiated that again to get (ab^2)*e^(bt)
then i substituted x and x" into the ODE given to get
(ab^2)*e^(bt) = 16e^(4t) / ae^(bt) +ct
this is where i got stuck..am i on the right path..from this part i need to find a b and c..any help thankz