Obtain the general solution of the following DEs:
i. y′′′ + y′′ − 4y′ + 2y = 0
ii. y(4) + 4y(2) = 0
iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x)
iv. y′′ − 4y = sin2(x)
v. y′′ − 4y′ + 3y = x ; use y1 = e3x
vi. y′′ + 5y′ + 6y = e2xcos(x)
vii. y′′ + y = sec(x) tan(x)
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