I am solving to my assignment bu I want make sure that I am doing the right answer so could you please provide help

blackboard.waketech.edu C Transformer Basics... Lessons - Differenti... https://blackboard... Slope Field Generator Slope field plotter -... https://blackboard.... Lessons/Course Co... ac to dc transforme... Transformers: - Go... What is a Transfor... (c) Examine the differential equation and determine the maximum area that this colony of microorganisms could occupy. (2 pts) 5. Using a power series centered at x = 0, solve the equation y" + xy' - x2y = 0. State the recursive formula and show the first 4 non-zero terms of each independent solution. (6 pts) 6. For the non-linear differential equation: dy dx =y2 - (x+ 1)2+1 (a) Use a computer algebra system (CAS) to generate a slope field for the DE, and attach a printout of the result. (4 pts) (b) Analyze the slope field to determine the linear function y(x) that solves the IVP when y(0) = 1. (2 pts)