Homework Questions 1. . Above, you found that the general solution to g3 : ky is y(ac) Is the function y = % a solution to the equation % 2 9'2? Check that y = i is not a solution. What about y = $ic? Find a solution with y(1) = %. Cek'\". Graph solutions to the equation $39 2 3y with y(0) = 1, y(0) = 2, and y(0) = 1 on the same set of axes. 3 . What is the order of the differential equation dE 242:? Find its the general solu dm3 tion by antidifferentiating three times. Check that your solution has three arbitrary constants in it! Solve the initial value problems: (a) :g = 24x, mm = 1, me) = 2, me) = 3. (b) d = 2456, 31(0) = 1, 9(1) = 114(2): 3- Solve the following initial value problems by antidifferentiation: (a) $- = 152, 9(1) = 1- (b) d2\" 32, 11(0) 2 100, h'(0) = 10. (See the Newton's Law of Motion labl). @ 9.. BL? 09 Find a function of the form y : :12" that is a solution to the differential equation l iu_ TIMy