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0 votes
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in Differential equations by (36.3k points)

A curve C passes through (2, 0) and the slope at (x, y) as ((x + 1)2 + y – 3)/(x + 1). Find the equation of the curve and the area enclosed by the curve and the x-axis in the fourth quadrant.

1 Answer

+1 vote
by (33.0k points)
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Best answer

Given,

which is a linear differential equation. 

Put x = 2 and y = 0, then c = –3

Hence, the equation of the curve is

Hence, the required area

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