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Q.
The general solution of the differential equation $\frac{d y}{d x}=\frac{1-x}{y}$ is a family of curves which looks most like which of the following?
Differential Equations
Solution:
Note: Family of concentric circles with $(1,0)$ as the centre and variable radius
$\int ydy =\int(1-x) dx$
$\frac{y^2}{2}=x-\frac{x^2}{2}+C$
$x^2+y^2-2 x=C$
$( x -1)^2+ y ^2= C +1= C \Rightarrow (B)$