How to find complimentary sol'n of 2y'+18y=6tan(3t)?

Question

anonymous · Answer

Are you sure that this is the question? This has a very complicated answer (see attached)

anonymous · Answer

Yes, example 1 from http://tutorial.math.lamar.edu/Classes/DE/VariationofParameters.aspx Is it error?

anonymous · Answer

This is not the question. 2y''+18y=6tan(3t), TY

anonymous · Answer

On website, y'' is shown as y with bold " ' ". Is this another way of writing y prime prime?

anonymous · Answer

The typeface on the website is a bit misleading. I tried zooming in, and even then it still looks like a single prime. From the complementary solution, since it contains sin/cos, it makes sense that the ODE has the form y'' + y.

anonymous · Answer

that's good sense.