jee-main 2023 Q84

jee-main · India · session1_30jan_shift2 Differential equations Solving Separable DEs with Initial Conditions

The solution of the differential equation $\frac{dy}{dx} = -\left(\frac{x^{2} + 3y^{2}}{3x^{2} + y^{2}}\right)$, $y(1) = 0$ is
(1) $\log_{e}|x + y| - \frac{xy}{(x+y)^{2}} = 0$
(2) $\log_{e}|x + y| + \frac{xy}{(x+y)^{2}} = 0$
(3) $\log_{e}|x + y| + \frac{2xy}{(x+y)^{2}} = 0$
(4) $\log_{e}|x + y| - \frac{2xy}{(x+y)^{2}} = 0$

The solution of the differential equation $\frac{dy}{dx} = -\left(\frac{x^{2} + 3y^{2}}{3x^{2} + y^{2}}\right)$, $y(1) = 0$ is\\
(1) $\log_{e}|x + y| - \frac{xy}{(x+y)^{2}} = 0$\\
(2) $\log_{e}|x + y| + \frac{xy}{(x+y)^{2}} = 0$\\
(3) $\log_{e}|x + y| + \frac{2xy}{(x+y)^{2}} = 0$\\
(4) $\log_{e}|x + y| - \frac{2xy}{(x+y)^{2}} = 0$

Paper Questions

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