# Solve the given differential equation by separation of variables.dy-(y-8)2dx=0

Solve the given differential equation by separation of variables.
$dy-\left(y-8\right)2dx=0$
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Bentley Leach
Step 1
The differential equation is given as:
$dy-\left(y-8\right)2dx=0$
For finding the variable first we must put the same terms on one side and other terms on the other side of the equal to sign
$dy-\left(y-8\right)2dx=0$
$dy=\left(y-8\right)2dx$
$\frac{dy}{\left(y-8\right)}=2dx$
Step 2
Now integrating both sides we get,
Where c is the integration constant variable.
$\int \frac{dy}{\left(y-8\right)}=\int 2dx$
$\mathrm{ln}|\left(y-8\right)|=2x+c$