What does the differential equation y \frac{d y}{d x}+x=k ( k is any constant) represent?

Correct Answer is : A family of circles having centre on the x-axis

A family of circles having centre on the y-axis

A family of circles having centre on the x-axis

A family of circles touching the x-axis

UPSC NDA II 2010 Mathematics Paper

Question : 47 of 120

Marks: +1, -0

What does the differential equation y‌

+x=k ( k is any constant) represent?

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