Questions: 1. Given the differential equation: 3: = 5t2, where y(0) = 10. a. Find the solution. b. Check your answer. 2. Given the differential equation: 2: + 2y = 39', where y(0) = 0. a. Find the solution using the integrating-factor method. b. Check your answer. 3. Given the differential equation: solve 2: + By = 4e3'with initial value y(0) = O a. Find the solution using the integrating-factor method. b. Check your answer. 4. Given the difference equation yt+1 331: = 4 and yo = 4. a. Find the solution, y,. b. Check your answer. c. Does this solution converge or diverge? 5. Given the difference equation 2yt+1 yt = 6 and yo = 7. a. Find the solution, Yr. b. Check your answer. 0. Does this solution converge or diverge