Find a particular solution to the differential equation d¹7y/dt¹7 - 11d²y/dt² + 8dy/dt - 2y = t². You do not need to find the general solution.
a) y(t) = (1/34)t¹7 + (1/272)t⁹
b) y(t) = (1/34)t¹7 - (1/272)t⁹
c) y(t) = (1/34)t¹7 + (1/544)t⁹
d) y(t) = (1/34)t¹7 - (1/544)t⁹