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Sunday, April 12, 2015

Separation of Variables, 40

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 sec² x as follows


 

Integrate on both sides of the equation, we have



In this type of integration of trigonometric functions, we need to use the principles of trigonometric identities first before we can do the simple integration of trigonometric functions. Hence, the above equation becomes 










Therefore, the general solution is


where B = 4C.