Practicing Success
Practicing Success
CUET Preparation Today
The differential equation $y \frac{d y}{d x}+x=C$ represents |
a family of hyperbolas a family of circles whose centres are on y-axis a family of parabolas a family of circles whose centres are on x-axis |
a family of circles whose centres are on x-axis |
We have, $y \frac{d y}{d x}+x=C$ $\Rightarrow y d y+(x-C) d x=0$ $\Rightarrow \frac{y^2}{2}+\frac{(x-C)^2}{2}=C_1 \Rightarrow(x-C)^2+y^2=2 C_1$ Clearly, it represents a family of circles having their centres on x-axis. |
