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Previous Year Question (PYQs)
2
Let the solution curve $y=y(x)$ of the differential equation
\[
\frac{dy}{dx}=\frac{3x^5\tan^{-1}(x^3)}{(1+x^6)^{3/2}}\, y = 2x \exp\left\{\frac{x^3-\tan^{-1}(x^3)}{\sqrt{1+x^6}}\right\}
\]
pass through the origin. Then $y(1)$ is equal to:
Solution
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