\ \
The function is
(Multiply each side by dt)
(Divide each side by y)
(Integrate with respect to x)
(Integrate logarithem and power rule)
(Logerothem exponential rule)
This equation passes throught the point
(Substitute x and y)
(
)
(Subtract 1 from each side)
(Substitute
)
The particular solutions of the differential equation.
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So, the particular solution is .