Please help with answering these math questions. Please take your time in doing the work, the arithmetic has to be correct and so does the final answer. I really need help in getting these problems right, thank you! Please show work as simple and easy to follow.

Question 3 (Essay Worth 10 points) (07.02) a. Solve the differential equation y'=4x'f1_y2 . b. b. Explain why the initial value problem y'=4x'{'1 _y2 with y(0) = 4 does not have a solution. Question 2 (Essay Worth 10 points) (07.02) 2 Solve the differential equation 3 = 3'1. for y = f(x) with the condition y(1) = 1. x x Question 4 (Essay Worth 10 points) (07.03) 2 The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of If(x)dx . Give 3 decimal 1 places for your answer. x 1 1.1 1.2 1.5 1.7 1.9 2.0 f(x)12467910