Question 1. A second order ODE has the following form dt2d2x+dtdx+x=f(t) a. (1 point) For a second order ODE, how many initial conditions do you need? Provide an example of the initial conditions. b. (1 point) If =5,=1,=7 and f(t)=0, what is the general solution to x(t) ? Note, "general solution" means you leave your answer in terms of arbitrary constants that may arise due to integration (i.e. leave your answer in terms of constants of integration). c. (1 point) If f(t)=7cos(4t)+3sin(4t), what would you choose as your "guess function" if using the method of undetermined coefficients? d. (1 point) Does the particular solution depend on the initial conditions? Briefly explain your