(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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asked Oct 8, 2021 188k views

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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.)

Mathematics
college

Zotta asked

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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

Suann answered Oct 14, 2021

by Suann

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