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Mathematics · 2025

JEE Main · 8 April 2025, Shift 2 · Q20

Let f(x)=x-1 and g(x)=e^x for x ∈ R. If (d y)/(d x)=(e^-2 √ x g(f(f(x)))-y/(√ x)), y(0)=0, then y(1) is

Let $\displaystyle f(x)=x-1$ and $\displaystyle g(x)=e^x$ for $\displaystyle x \in \mathbb{R}$. If $\displaystyle \frac{d y}{d x}=\left(e^{-2 \sqrt{x}} g(f(f(x)))-\frac{y}{\sqrt{x}}\right), y(0)=0$, then $\displaystyle y(1)$ is
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.