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(a) 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 possibl…

(a) 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 possibl…
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(a) 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.)

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User Zotta
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Answer:

y = (6 ln(x) + C)/x , x > 0, is a solution of the differential equation x2y' + xy = 6.

Explanation:

(a) Show that every member of the family of functions y = (6 ln(x) + C)/x , x &gt-example-1
(a) Show that every member of the family of functions y = (6 ln(x) + C)/x , x &gt-example-2
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User Suann
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