Solve the following problems. Show your solution completely and Box your final answer. No solution or incorrect solution is considered wrong. You will upload your solution in pdf format. 5 points for each problem. Good luck. 1. State the order, degree, dependent and independent variable and determine whether the equation is linear or non- linear. () + () ' dx2 2. Prove that each equation is a solution of the given differential equation. b. y = 4 a. y = cos x ln | sec x + tanx |; y" + y = tan x y y = 0 = (C+Cx) ex + e ; y" 4y' + 4y - 3. Eliminate the arbitrary constant on the given equation x + Ae+ Bex = ex 4. Obtain the differential equation of the family of straight lines with slope and x-intercept equal.