Question:
Consider the ordinary differential equation \[x^2 \frac{d^2y}{dx^2} - x \frac{dy}{dx} - 3y = 0,\]
with the boundary conditions \( y(x = 1) = 2 \) and \( y(x = 2) = \frac{17}{2} \). The solution \( y(x) \) at \( x = \frac{3}{2} \), rounded off to 2 decimal places, is __________.
Consider the ordinary differential equation \[x^2 \frac{d^2y}{dx^2} - x \frac{dy}{dx} - 3y = 0,\]
with the boundary conditions \( y(x = 1) = 2 \) and \( y(x = 2) = \frac{17}{2} \). The solution \( y(x) \) at \( x = \frac{3}{2} \), rounded off to 2 decimal places, is __________.
with the boundary conditions \( y(x = 1) = 2 \) and \( y(x = 2) = \frac{17}{2} \). The solution \( y(x) \) at \( x = \frac{3}{2} \), rounded off to 2 decimal places, is __________.
Updated On: Jul 17, 2024
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Correct Answer: 4
Solution and Explanation
The correct Answers is :4.00 or 4.08 Approx
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