Question

how to integrate dy/dx=(5-x)/(x)??

Answer 1

\[\frac{dy}{dx}=\frac{5-x}{x}=\frac{5}{x}-1\]
Integrate term by term.

Answer 2

I have to find the general solution, is that the answer?

Answer 3

The general solution would be \(y=\cdots\), so you actually have to integrate first.

Answer 4

can you help me to do that?

Answer 5

\[y=\int\frac{dy}{dx}~dx=\int\left(\frac{5}{x}-1\right)~dx\]

Answer 6

Yes ihave that already

Answer 7

Log rule for the first term, power rule for the second. Just apply what you've (presumably) learned.

Answer 8

I am confused still