y = 5lnx Determine whether the function is a solution of the
differential equation y^((4)) - 16y = 0
Given y = 5ln(x) y' = 5/x y''=-5/x^2 y'''=10/x^3 y''''=-30/x^4 so we have to check whether y^((4)) -16y=0 y'''' -16y=-30/x^4 -16(5ln(x)) != 0 So it's not a solution to the differential equation.
No comments:
Post a Comment