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Saturday, April 11, 2015

Separation of Variables, 39

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above 


Express y' as dy/dx as follows  



By separation of variables, transpose dx to the right side of the equation and y to the left side of the equation, we have 

  

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