Hint and Solution Unclear

Hey Brian,

Thanks for your message.

I wrote my hint and solution based on the lecture notes http://www.math.ubc.ca/~elyse/152/2018/13LCR.pdf Unfortunately, I do not know the names of these differential equations. There are no names stated in the lecture notes as well. I am not an expert on this kind of circuit questions, so feel free to help me make any corrections or add more details to the solution.

Thanks. Aili

I don't like these notes because I thought that a "voltage drop" was the negative of the difference in voltage, and they seem to be using the opposite convention.