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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


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.