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Thursday, March 26, 2015

Separation of Variables, 23

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



Multiply both sides of the equation by dx, we have




Since both sides of the equations are already factored according to their variables, then we can separate the other variables from dy and dx as follows



Integrate on both sides of the equation, we have







             
                 

Therefore, the general solution is


where D = 1/C.