Mathematics, 19.03.2020 08:01 apodoltsev2021
Show that every member of the family of functions y = (6 ln(x) + C)/x , x > 0, is a solution of the differential equation x2y' + xy = 6. (Simplify as much as possible.) y = 6 ln(x) + C x β y' = 6x Β· (1/x) β (6 ln(x) +C) x2 LHS = x2y' + xy = x2 Β· x2 + x Β· 6 ln(x) + C x = + 6 ln(x) + C = = RHS, so y is a solution of the differential equation.
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Show that every member of the family of functions y = (6 ln(x) + C)/x , x > 0, is a solution of t...
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