# What is a solution to the differential equation #dy/dx=4y#?

##### 1 Answer

Aug 2, 2016

#### Explanation:

We can separate the variables:

#dy/dx=4y" "=>" "dy/(4y)=dx#

Integrate both sides:

#intdy/(4y)=intdx" "=>" "1/4intdy/y=intdx" "=>" "1/4ln(y)=x+C#

Solving for

#ln(y)=4x+C" "=>" "y=e^(4x+C)=e^(4x)*e^C=Ce^(4x)#