I have an exam tomorrow on advanced discrete maths and there's an exercise question example in my book with no answer because i missed the lecture we went through it, and i'm certain I need to know how to do it, if any one can do this, please answer or at least have a go as it will help me greatly! thank you

Solve the following simultaneous differential equations using the Laplace transform method,

4dx/dt + dy/dt + y = 2t
d²x/dt² - dy/dt = 0

Include in your answer a brief description of how the method is working at each step.