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Find the particular solution for
in which y = 6 when x = 0.
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by (y - 2) cot x as follows
Integrate both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Substitute the value of x and y in order to get the value of C as follows
Therefore, the particular solution is
