4. (5 marks). An ordinary differential equation (ODE) is an equation that contains an unknown function y(x) and some of it's derivatives y'(r), y"(x), etc. Many of you will take a course in your second year that will show you how to solve ODEs. Solving an ODE means finding a function y(r) that satisfies the equation. In this question, we've done the solving for you! You will be showing that a given function is a solution to an ODE. Consider the following ordinary differential equation y"(x) +y'(x) - 2y(x) = -4x2 (a) (2 marks). Show that y(a) = 2x2 + 2x + 3 is a solution to the ODE given above. (b) (3 marks). For what values of r is y(x) = er + 2x + 2x + 3 also a solution to the ODE given above