2017 SQA Advanced Higher Mathematics No. 9 First order differential equation

Find the solution to a first order differential equation given initial conditions by separating the variables. Instructional exercise consisting of question 9 from the 2017 SQA Advanced Higher Mathematics examination. Where appropriate the alternative methods for solving the problem are also given. Set out in stages of 'try then check' the worked solution to each part of the question. Including indications of where each mark is allocated, and the requirements for that mark, according to the marking scheme.