Solve each of the following ODEs. If initial conditions aregiven, give the unique solution.
d) y''' ? 5y'' + 2y' + 8y = 0, y(0) = 2, y'(0) = ?1, y''(0) =?5
e) y''' + 9y'' + 27y' + 27y = 0, y(0) = 2, y'(0) = 0, y''(0) =3
a) x^2y'' + xy' + 4y = 0, x > 0
b) x^2y'' ? 6y = 0, x > 0, y(1) = y'(1) = 5
c) x^2y'' + 5xy' + 4y = 0, x > 0, y(1) = 5, y'(1) = ?9
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