I have the equations
x[t] == Exp[m t] && (2 t + 1) x''[t] + 2 (2 t - 1) x'[t] - 8 x[t] == 0
Please tell me which function to use to solve it and find the parameter
m from the first equation that will solve the second,
DSolve on the second equation and found
m = -2, but maybe there is another way.