Question

find the general solution for dy/dx-y=15 by integration

Answer 1

this has been answered already why did you repost this??

Answer 2

because i didn't get the correct answer

Answer 3

i just looked at the solution given by @lalaly , why was it wrong? i don't see anything wrong with that solution...

Answer 4

\[
\frac{dy}{dx}-y=15 \\
\frac{dy}{dx} =15 +y \\
\frac{dy}{y+15}= dx \\
\int \frac{dy}{y+15}= \int dx\\
\ln(y+15) = x + K \\
e^{\ln(y+15)} = e^{x + K }= e^K e^x= C e^x\\
y+15= Ce^x \\
y= Ce^x -15


\]

Answer 5

And that's the same answer ^^...

Answer 6

I did not look at the other answer. This is a routine method for separable differential equations.