Mathematics, 03.04.2020 22:54 keyonaemanieevans
Verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.
2x2y'' + 5xy' + y = x2 − x;
y = c1x−1/2 + c2x−1 + 1/15(x^2)-1/6(x), (0,infinity)
The functions (x^-1/2) and (x^-1) satisfy the differential equation and are linearly independent since W(x^-1/2, x^-1)= ? for 0
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