Please help me with the following. Thank you!

dy 4. Consider the differential equation dx =14y . Let y=f(x) be the particular solution to this differential equation with the initial condition f(2)=0. (9 points) a) Use Euler's method, starting at x=2 with two steps of equal size to approximate f(1.6). Show all work that leads to your answer. You may use a table to organize it. b) Find lim f(2) . Show the work that leads to your analysis. 2 x)2 x _4 c) Find the particular solution y=f(x) to the differential equation % =1 4y with the initial x condition f(2)=0