Question

(x-5) dy/dx=y

Answer 1

its a differential equation

Answer 2

\[(x-5)\frac{\text d y}{\text d x} =y\]
\[\frac{1}{y} \text d y=\frac{1}{x-5} \text d x\]
now integrate

Answer 3

\[\int \frac 1 y \text d y =\int \frac 1 {x-5} \text d x\]

Answer 4

\[\ln y= \ln{(x-5)}+c\]

Answer 5

yes...thxxx

Answer 6

now put everything to the base e
\[e^{\ln y}=e^{\ln{(x-5)}+c}\]
\[y=e^C(x-5)\]

Answer 7

okk