Using variation of parameters, find a particular solution of the
given differential equations:
a.) 2y" + 3y' - 2y = 25e-2t (answer should be: y(t) =
2e-2t (2e5/2 t - 5t - 2)
b.) y" - 2y' + 2y = 6 (answer should be: y = 3 + (-3cos(t) +
3sin(t))et )
Please show work!
Solve the following differential equations using Taylor series
centered at 0. It’s enough to find the recurrence relation and the
first 3 terms of the series.
(a) y''− 2y' + y = 0
(b) y'' + xy' + 2y = 0
(c) (2 + x^2 )y'' − xy'+ 4y = 0