Question

In this question, we ask you to solve the differential equation dy (3x-6)2-(2y-s) dx satisfying the initial condition 4.1 (1 mark) Hopefully, you have observed that the d.e. is separable. Thus, as a first step you need to rearrange the d.c. in the form for appropriate functions fy) and g(x) Enter such an equation, below y) dy-g(x) dx Note. The differentials dx and dy are simply entered as dx and dy, respectively separated d.e You have not attempted this yet 4.2 (1 mark) Now integrate and find the general solution to the d.e., i.e. for the moment ignore the given initial condition For an arbitrary constant you may use any single lowercase or uppercase letter other than e, D or I (or x or y, obviously).eg. C is a nice choice. Your answer should be an equation relating y and x general solution You have not attempted this yet 4.3 (1 mark) Now apply the initial condition and give the solution to the original problem posed solution to the d.e You have not attempted this yet

Answer 1

2y+ + C 3 14