The general solution of the differential equation (y−xdydx)=3(1−x2 – InterviewSolution

1.	The general solution of the differential equation (y−xdydx)=3(1−x2dydx) is \|y−α\|=∣∣∣cx3x−1∣∣∣, then the value of α is (where c is integration constant and α is a fixed constant)
Answer» The general solution of the differential equation $(y - \frac{x d y}{d x}) = 3 (1 - x^{2} \frac{d y}{d x})$ is $\| y - α \| = ∣ ∣ ∣ \frac{c x}{3 x - 1} ∣ ∣ ∣,$ then the value of $α$ is (where $c$ is integration constant and $α$ is a fixed constant)

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