Equation of the curve whose slope at the point $(x, y)$ is $-(x+y) / x$ and which passes through the point $(2,1)$ is :

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

Equation of the curve whose slope at the point

(x, y)

-(x+y) / x

and which passes through the point

(2,1)

is :

View answer and explanation

Correct option: C

x^2+2 x y=8

Option C (

x^2+2 x y=8

) is correct because it represents the solution to the given differential equation that passes through the point (2,1).

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\lim \limits_{{x \rightarrow \infty}} y(t)