1. Solve the following differential equation for initial conditions y = 2 at r = 0: dy = my - 31. 2. Solve the following differential equation for initial conditions y = 4 at r = 0: dy I dr y +1 3. The following differential equation is to be solved with the initial condition y = 2 when r = 0: dy = -Ty. Solve this equation. using an integrating factor and then verify your answer using a different method of solution. 4. Solve the following differential equation for initial conditions r = 0 at t = 0: dr + BI = Ate at