0. Bob initially has $1,000 in his bank account, which earns interest of 2% per year compounded continu- usly. He also deposits $100 every year into the account. a) Write an IVP for S(t), the money in his account at time t measured in years. b) Find the general solution to the differential equation three times, by three different methods: separation of variables, undetermined coefficients, and an integrating factor. Then find the value of C' in the general solution using the initial condition. c) How much time will it take for the account to reach $13, 000? 0. Bob initially has $1,000 in his bank account, which earns interest of 2% per year compounded continu- usly. He also deposits $100 every year into the account. a) Write an IVP for S(t), the money in his account at time t measured in years. b) Find the general solution to the differential equation three times, by three different methods: separation of variables, undetermined coefficients, and an integrating factor. Then find the value of C' in the general solution using the initial condition. c) How much time will it take for the account to reach $13, 000