Answer to Question #85725 in Differential Equations for hy

Question

Consider the differential equation
x^3y ''' + 10x^2y '' + 16xy ' − 16y = 0; x, x^−4, x^−4 ln(x), (0, ∞).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since
W(x, x^−4, x^−4 ln(x)) =
≠ 0
for
0 < x < ∞.

Form the general solution.
y =


Could someone help me i´ve been on this one for hours I don´t know how to do it and my assignment is due in about an 1 and a half