Separation of Variables, 35

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for

Solution:

Consider the given equation above 

Divide both sides of the equation by y³e^-x in order to separate dx and dy from other variables as follows   

Integrate on both sides of the equation, we have 

Therefore, the general solution is 

Separation of Variables, 34

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for

Solution:

Consider the given equation above  

Divide both sides of the equation by cos² y in order to separate dx and dy from other variables as follows  

Integrate on both sides of the equation, we have

    

Therefore, the general solution is

where F = 2C.