Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q77
If the general solution of the differential equation y^′=y/x+Φ(x/y), for some function Φ, is given by y ln |c x|=x, where c is an arbitrary constant,…
If the general solution of the differential equation $\displaystyle y^{\prime}=\frac{y}{x}+\Phi\left(\frac{x}{y}\right)$, for some function $\displaystyle \Phi$, is given by $\displaystyle y \ln |c x|=x$, where $\displaystyle c$ is an arbitrary constant, then $\displaystyle \Phi(2)$ is equal to :
Official answer
(4)
$\displaystyle -\frac{1}{4}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.