Separation of Variables, 30

Category: Differential Equations

"Published in Vacaville, California, USA"

Find the general solution for

Solution:

Consider the given equation above 

By separation of variables, transpose y to the right side of the equation and (4 + e^2x) to the left side of the equation as follows 

Integrate on both sides of the equation, we have 

Take the inverse natural logarithm on both sides of the equation, we have 

Therefore, the general solution is 

where E = C²