jee-main 2016 Q87

jee-main · India · 09apr First order differential equations (integrating factor)

If a curve $y = f(x)$ passes through the point $(1, -1)$ and satisfies the differential equation, $y(1 + xy) dx = x\, dy$, then $f\left(-\frac{1}{2}\right)$ is equal to:
(1) $-\frac{2}{5}$
(2) $-\frac{4}{5}$
(3) $\frac{2}{5}$
(4) $\frac{4}{5}$

If a curve $y = f(x)$ passes through the point $(1, -1)$ and satisfies the differential equation, $y(1 + xy) dx = x\, dy$, then $f\left(-\frac{1}{2}\right)$ is equal to:\\
(1) $-\frac{2}{5}$\\
(2) $-\frac{4}{5}$\\
(3) $\frac{2}{5}$\\
(4) $\frac{4}{5}$

Paper Questions

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