jee-main 2024 Q88

jee-main · India · session2_09apr_shift2 First order differential equations (integrating factor)

For a differentiable function $f : \mathbb { R } \rightarrow \mathbb { R }$, suppose $f ^ { \prime } ( x ) = 3 f ( x ) + \alpha$, where $\alpha \in \mathbb { R } , f ( 0 ) = 1$ and $\lim _ { x \rightarrow - \infty } f ( x ) = 7$. Then $9 f \left( - \log _ { \mathrm { e } } 3 \right)$ is equal to $\_\_\_\_$

For a differentiable function $f : \mathbb { R } \rightarrow \mathbb { R }$, suppose $f ^ { \prime } ( x ) = 3 f ( x ) + \alpha$, where $\alpha \in \mathbb { R } , f ( 0 ) = 1$ and $\lim _ { x \rightarrow - \infty } f ( x ) = 7$. Then $9 f \left( - \log _ { \mathrm { e } } 3 \right)$ is equal to $\_\_\_\_$

Paper Questions

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