questions below:

In the study of vacuum tubes, the equation y\" + (0.1)(y2 - 1) y' + y = 0 is encountered. Find the Taylor polynomial of degree 4 approximating the solution with initial values y(0) = 1, y'(0) = 0. P4 0') = Find a particular solution to the differential equation using the Method of Undetermined Coefficients. x''(t) - 8x'(t) + 16x(t) = 66+2 e 4t . . . A solution is X (t) =