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Friday, April 3, 2015

Separation of Variables, 31

Category: Differential Equations

"Published in Vacaville, California, USA"

Find the general solution for


Solution:

Consider the given equation above  


Perform the algebraic operations and group according to their variables as follows





By separation of variables, transpose (1 - b cos θ) to the right side of the equation and r 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