Category: Differential Equations, Integral Calculus
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Find the general solution for
Solution:
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.