JEE MAIN Differential Equation Previous Year Questions (PYQs) – Page 16 of 16
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Let $f$ be a differentiable function such that
$f'(x) = 7 - \dfrac{3}{4}\,\dfrac{f(x)}{x}$, for $x>0$, and $f(1)\neq 4$.
Then $\displaystyle \lim_{x\to 0} x\,f\!\left(\dfrac{1}{x}\right)$ equals:
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Solution
Consider the differential equation
$y^{2},dx+\left(x-\dfrac{1}{y}\right)dy=0.$
If $y=1$ when $x=1$, then the value of $x$ for which $y=2$ is:
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Solution
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