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Tuesday, March 31, 2015

Separation of Variables, 28

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


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 y² to the left side of the equation as follows

Integrate on both sides of the equation, we have  

Therefore, the general solution is

where B = 2C