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)#
