Question

Solve the equation y′ + 3y = t + e^(−2t).

Answer 1

solve it for y ?

Answer 2

...the first term is y squared ?

Answer 3

its a diffyQ

Answer 4

solve the =0 part, then there are a few methods for the second part of it

assume At + Be^(-2x) is a particular solution and give it a runthru; if not, then modify as needed

Answer 5

3y = 3At + 3Be^(−2t)
y' = A - 2Be^(−2t)
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it looks like B=1 would be good for that part of it, but we would need to modify the At.