The solution of the differential equation $\frac{dy}{dx}=\frac{6}{x^2}$; y(1) = 3 is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) - $y=9-\frac{6}{x}$
$\frac{dy}{dx}=\frac{6}{x^2}⇒\int dy=\frac{6}{x^2}dx$
$y=-\frac{6}{x}+C$
as $y(1)=3⇒3=-6+C$
$⇒C=9$
so $y=9-\frac{6}{x}$