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Thursday, April 9, 2015

Separation of Variables, 37

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above 


Since the given equation is already arranged according to their variables, then we can integrate on both sides of the equation as follows



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 D = 3C.