If the solution curve of the differential equation (y - 2logₑ x)d… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 8 April, Shift 1Linear Differential Equations

If the solution curve of the differential equation $\left(y - 2\log_e x\right)dx + \left(x \log_e x^2\right)dy = 0$ , $x > 1$ , passes through the points $\left(e, \frac{4}{3}\right)$ and $\left(e^4, \alpha\right)$ , then $\alpha$ is equal to:

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