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Find the particular solution for
when x → ∞, y = ½.
Solution:
Consider the given equation above
Divide both sides of the equation by exy2 as follows
Integrate on both sides of the equation, we have
Substitute the values of x and y in order to solve for C as follows
Since ∞·0 is indeterminate form, then we have to rewrite the working equation as follows
Apply the L'Hopital's Rule, we have
Hence, the value of C is
Therefore, the particular solution is
