The differential equations of hyperbolas with coordinate axis as asymptotes is

x \frac{d y}{d x} - y = 0

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x \frac{d y}{d x} + y = 0

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\frac{d y}{d x} + x y = 0

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x \frac{d y}{d x} = y^{2}

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Solution

The correct option is B $x \frac{d y}{d x} + y = 0$

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Similar questions

Q. Solve the differential equation :

(y - x \frac{d y}{d x} - a (y^{2} + \frac{d y}{d x})

) =0

Q. A solution of the differential equation

(\frac{d y}{d x}) - x \frac{d y}{d x} + y = 0

Q. Solve the differential equation

x \frac{d y}{d x} + y + x + x y

=0.

Q. For differential equation

{(\frac{d y}{d x})}^{2} - x (\frac{d y}{d x}) + y = 0

,find the solution

Which of the following differential equations has y=x as one of its particular solution?
(a) $\frac{d^{2} y}{d x^{2}} - x^{2} \frac{d y}{d x} + x y = x$
(b) $\frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + x y = x$
(c) $\frac{d^{2} y}{d x^{2}} - x^{2} \frac{d y}{d x} + x y = 0$
(d) $\frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + x y = 0$

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The differential equations of hyperbolas with coordinate axis as asymptotes is

The correct option is B xdydx+y=0

The correct option is B $x \frac{d y}{d x} + y = 0$