2007 SQA Advanced Higher Maths no.14 First order differential equation

Solving a separable first order differential equation. In particular, finding the constant of integration immediately against letting it run through the steps of the simplification before evaluating it. Finding values in the resulting exponential equation. Instructional exercise consisting of question 14 from the 2007 SQA Advanced Higher Mathematics exam. Set out in stages of 'try then check' the worked solution to each part of the question.