Question:

The order of the differential equation $2x^2 \frac{d^2y}{dx^2}-3 \frac{dy}{dx}+y=0$

Updated On: Oct 7, 2024

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- JEE Main - 2024
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- JEE Main - 2024
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Let $ y = y(x) $ be the solution of the differential equation \[\left( 1 + x^2 \right) \frac{dy}{dx} + y = e^{\tan^{-1}x}, \, y(1) = 0.\]Then $ y(0) $ is:
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Let $ y = y(x) $ be the solution of the differential equation \[\left( 2x \log_e x \right) \frac{dy}{dx} + 2y = \frac{3}{x} \log_e x, \, x>0 \, \text{and} \, y(e^{-1}) = 0.\] Then, $ y(e) $ is equal to:
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