Find the general solution of the differential equation: y'' + y = tan x sec x
The homogeneous part of the equation is:
y" + y = 0
and the associated characteristic equation is r^2 + 1 = 0
So the roots are r1 = -i, and r2 = i
Therefore, the solution to the homogeneous part is
yh = ...
This solution shows how to determine the general solution with a step-by-step explanation.