Free counters!

Wednesday, December 25, 2013

Variable Separation, 5

Category: Differential Equations, Integral Calculus

"Published in Suisun City, California, USA"

Find the general solution for


Consider the given equation above

The given equation can be written as

Arrange the above equation by separation of variables, we have

Integrate on both sides of the equation, we have

Therefore, the general solution is

You can also eliminate their fraction by multiplying both sides of the equation by their Least Common Denominator (LCD) which is 4 as follows

Note: A constant multiply by another constant or coefficient is still a constant.