# Solve and classify equation (k+1)dy+kydx=0

Solve and classify equation $\left(k+1\right)dy+kydx=0$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

estenutC

$\left(k+1\right)dy+kydx=0$
Let y be the dependent variable
$\left(k+1\right)dy/dx+ky=0$
Substituing with y'
$\left(k+1\right){y}^{\prime }+ky=0$
$\left(k+1\right)/y{y}^{\prime }=-k$
The solution is
$y={e}^{\left(-kx+{c}_{1}\right)/\left(k+1\right)}$
This is exact form

###### Not exactly what you’re looking for?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee