Practicing Success
The differential equation y$\frac{dy}{dx}$ + x = a (where ‘a’ is a constant) represents : |
a set of circles having centre on y-axis a set of circles with centre on x-axis a set of ellipses none of these |
a set of circles with centre on x-axis |
y dy = (a − x) dx $\frac{y^2}{2}=a x-\frac{x^2}{2} \Rightarrow x^2+y^2=2 a x \Rightarrow x^2+2 a x+y^2=0$ It represents a set of sides with centre on x−axis Hence (2) is the correct answer. |